{"pages":{"search":{"query":"Calculus","originalQuery":"Calculus","serpid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","parentReqid":"","serpItems":[{"id":"13130706099511085550-0-0","type":"videoSnippet","props":{"videoId":"13130706099511085550"},"curPage":0},{"id":"16786679170945077717-0-1","type":"videoSnippet","props":{"videoId":"16786679170945077717"},"curPage":0},{"id":"10380429351396265512-0-2","type":"videoSnippet","props":{"videoId":"10380429351396265512"},"curPage":0},{"id":"video-related-suggest-0-3","type":"relatedSuggest","props":{"title":"Bunlar aranıyor","columns":[[{"text":"Limits","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Limits&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Calculus formulas","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Calculus+formulas&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Integrals","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Integrals&source=video-related-suggest&rq=1&src=int_discovery_recommender"}],[{"text":"Fundamental Theorem of Calculus","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Fundamental+Theorem+of+Calculus&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Derivatives","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Derivatives&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Calculus examples","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Calculus+examples&source=video-related-suggest&rq=1&src=int_discovery_recommender"}]]},"curPage":0},{"id":"3211280197069360163-0-4","type":"videoSnippet","props":{"videoId":"3211280197069360163"},"curPage":0},{"id":"R-I-113683-5-0-5","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":5,"grab":"dENhbGN1bHVzCg==","statId":5,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","ui":"desktop","yuid":"8596336441769331131"}}},"isAdult":false,"position":5,"placement":"empty"},"curPage":0},{"id":"2863188196425289924-0-6","type":"videoSnippet","props":{"videoId":"2863188196425289924"},"curPage":0},{"id":"7531801773533061774-0-7","type":"videoSnippet","props":{"videoId":"7531801773533061774"},"curPage":0},{"id":"204223579808164201-0-8","type":"videoSnippet","props":{"videoId":"204223579808164201"},"curPage":0},{"id":"10563874353047041307-0-9","type":"videoSnippet","props":{"videoId":"10563874353047041307"},"curPage":0},{"id":"16451549670387440466-0-10","type":"videoSnippet","props":{"videoId":"16451549670387440466"},"curPage":0},{"id":"9376351462368876853-0-11","type":"videoSnippet","props":{"videoId":"9376351462368876853"},"curPage":0},{"id":"R-I-113683-5-0-12","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":12,"grab":"dENhbGN1bHVzCg==","statId":12,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","ui":"desktop","yuid":"8596336441769331131"}}},"isAdult":false,"position":12,"placement":"empty"},"curPage":0},{"id":"7312381737745829243-0-13","type":"videoSnippet","props":{"videoId":"7312381737745829243"},"curPage":0},{"id":"3325929258122900113-0-14","type":"videoSnippet","props":{"videoId":"3325929258122900113"},"curPage":0},{"id":"5282881680882241403-0-15","type":"videoSnippet","props":{"videoId":"5282881680882241403"},"curPage":0},{"id":"14137339781875401432-0-16","type":"videoSnippet","props":{"videoId":"14137339781875401432"},"curPage":0},{"id":"4803136378967730236-0-17","type":"videoSnippet","props":{"videoId":"4803136378967730236"},"curPage":0},{"id":"16667719257089867963-0-18","type":"videoSnippet","props":{"videoId":"16667719257089867963"},"curPage":0},{"id":"8967508450425227325-0-19","type":"videoSnippet","props":{"videoId":"8967508450425227325"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dENhbGN1bHVzCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","ui":"desktop","yuid":"8596336441769331131"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DCalculus"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"0390976652291060673737","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1336776,0,74;284409,0,74;151171,0,31;128378,0,51;1281084,0,60;287509,0,25;1447467,0,70;1231501,0,79;1466396,0,24;912281,0,74"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DCalculus","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=Calculus","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=Calculus","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Calculus: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Calculus\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Calculus — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"yf2a2cf806d4a1a0ce8d886cdb9b55563","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1336776,284409,151171,128378,1281084,287509,1447467,1231501,1466396,912281","queryText":"Calculus","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"8596336441769331131","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769331165","tz":"America/Louisville","to_iso":"2026-01-25T03:52:45-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1336776,284409,151171,128378,1281084,287509,1447467,1231501,1466396,912281","queryText":"Calculus","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"8596336441769331131","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"0390976652291060673737","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":137,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"8596336441769331131","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1753.0__c83439c9643899cbfcbabfd82f198d10e202213a","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"gs.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"13130706099511085550":{"videoId":"13130706099511085550","docid":"34-8-6-Z0585AFB2F4E8EB7C","description":"Whether you're learning calculus or are planning to, this 13 minute video will help definitely help! More videos: / @drjitutoring Facebook: / drjitutoring TikTok: / drjitutoring Instagram...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3086666/6d634efabef1d3e3e7f96fbd6c17b862/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/aH3AQgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFdBf44rp0LU","linkTemplate":"/video/preview/13130706099511085550?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus Made EASY! Learning Calculus","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FdBf44rp0LU\",\"src\":\"serp\",\"rvb\":\"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_E5QGggQkAYAEKyqLARABGniBAP3__v4DAPb5BgkOBvwB-_wE_fr9_QD1BgL_BwL_AAcJ_Pf7AQAA_RP69AQAAADxAPkJAQAAABP69PUDAAAAEwD0Av8AAAAMDfAC_wAAAAj_9goE_wAACQoNCQAAAAAACfoIAAAAAPn3-wEAAAAA-fICBgAAAAAgAC1S99o7OBNACUhOUAIqhAIQABrwAX_oDgDU280A4uPlAMoi-AChMwP_Kv_XALrxCwCqE8v-_vL-APXyBgA0D_EApBIMAQX43f_16iUBS-MKAEPg-QC2LTAATg_-_x4GHAEF9vAAzRzy_vgVHAEX19MDCSvuAA3iEP8f8fv8D__VAyT7LQEMGfcL-xMF_urv_QPSOyH97N7a_uEMCgML4A744fUvByb3BAT6Fur_6yT-BQ8IDQgV9gcCAxnkBQMY3wfR-wf67wEIAPzi9gYN-B384A7wAtTvBfzH6AT--gUJAPUZBfDnJ-0IEwUDAfEREgQd6_kM1hMPBf_zHQHtIOoKFvP-BSAALdFCFzs4E0AJSGFQAirPBxAAGsAHkbfcvr5IjT3v0Au9WsitPDPcQD2eYpW84KD9vS4MpjsFkR68PtDqPZnO8zydh1G7s_B1vsfQlrxFZEA5Z2KaPk46m7wa71g8ehcvvgg8MD0pn9S8bTvtvX24P7wa8hU8Hq92PX27Gz0OeKq8b5spPXG7Qb3O0C48W68uPTda6Tv451299B8tPT-5t72ePxK925lTPZILmb286-y7L2OEPbvKBL3t1Jw89WItPVlUnzxxu-E70s6PvecpobwQ3_C7HejBPYb8frnqSY88z9kCvQkrALsGt1o8HOagvbT4Pr3P2SK9lVKGPSMxwTy7ZWK8Q_G5PczhRD3cXhc9IowPvnU5ar1xRoO8J5J-PXz5iD3gfI88rvQqvm3F3j2K1Au7utLXPMhJnD3mAwa7Dk7kPVr6C70rdmo7VlqQPFVx_jwqkxa8jUolPdYjKD0s85Y8sR1nvSu6Gj04CW-8RdTpPKjR2rycYKy7Ko4jvbcYkr0Sv3-7l6DQvHaGjrwz4Mk6RAhePXlycrwgJDC8BSOlPdYCO75J5Zo6CSJBPN5cN73LCeK7f-4VPXwP1z1V1VO794MQPcepTjtOHXW8JomKPAHUeb3Wj8m7ZLZgu6gEj72aNBm7ziaWvfqerDy14TC7_GVBvIXs2buHQjq8eIkgPTwc-DybyIo7CP7cvOvjoTwPW367_IUjPWxXjTwPYgg7YtkMPTXiU70ePGC5euSqPSNfrrxvSIK5gBvYPGhvtb10O0a5neqavJBDDj00XTq7PL3yPUrIUb1XwY45jSURvbuM7DwUII66J_PRu69LwzwBMRK6BnYmPerbiL0CzWY4_yNDvmZn0b088pA5PowVPddpJLxWc8U5EWpLvZjDSTyxZZk5Wx3lPPvYU71wqT85nVI0vTeffz2YhJK4l_y0PNXtWrqGime46iq4PHXkBTpgRFO4vSaaPYEGi73LC-O4DbbiPNqRKj6hYo255vyOvTIMjrzZXgK5RZzvOz3R1T3iCUe5VKXSvB_Mxz1y1Vi3ngYxvYPA6r0zzJA4EKyvPdvD3r3Inzy4IrX_vM7HkDuliXi3a_HpvXnWJLzuL2A2Fe0Avb_ZoDt4WQG3yF86PtyVwjzNr0s4aqKuO1IoCzwCmFk4weMrPtylaLwHiXS5_-VeO-lAi73LJa-4h2cOvfRlLr3N0hC4uKwCPWKPv7wvnT249nR6PeAP370_mZu3VRimPW0LxT2Dx-c4-AvsvP2bPDzPZAO3L9JVvOHn5DxipDK3-ckHvCCBGr1ufJ23IAA4E0AJSG1QASpzEAAaYDvzADsFEsrl8TrjGsAIML3-DuvXyy3_C-T_9RDOHg5cp9jx_wDnBwb0ngAAAC4O6xIJAO1_sd3lvAwTI6uevjr1eeki88bSJizqtgca-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-EEAACBCAAAkwgAAMEEAAJjCAACIQQAAgMAAANjBAACIwgAAWEIAAAhCAADgwQAARMIAACzCAABgwQAAXMIAAKhBAACIQQAAYEIAAGDBAADAQQAAQMIAABTCAAAEwgAAmMEAACRCAAAEQgAAMEEAAKBBAACUQgAAyEEAAFTCAADYQQAAuEEAAIC_AAA0QgAAQMEAAMhBAABUwgAAYEEAAEjCAADIwQAAGMIAAAxCAACgQgAADMIAAEBCAACAwAAA0EEAAEDAAACAPwAAUEEAAJBBAADgQQAAoMEAADDCAACQQQAAgL8AADjCAADQwQAAKEIAAMhBAAAAwwAAwEEAAJBCAAAowgAAMEEAAATCAAAcwgAAjkIAAEzCAAAIwgAAMMEAAAjCAACwwQAAgMAAAMDAAACAQAAAoEAAAIBBAADoQQAAwEAAAJpCAABIwgAAhMIgADgTQAlIdVABKo8CEAAagAIAAKq-AADoPQAAmD0AAIC7AAD4vQAAmD0AAKo-AADqvgAAoLwAAES-AADYPQAAmD0AAOA8AACqPgAA-L0AABS-AABkPgAA4LwAAIC7AAArPwAAfz8AAIa-AAC4vQAAHD4AAIK-AAAUPgAAQLwAAGy-AABQPQAAoj4AAPg9AACWvgAAHL4AABA9AAAwPQAAqL0AABS-AACCvgAAfL4AAJi9AAA0vgAAoLwAAJo-AADgPAAAfL4AAJg9AACqPgAADL4AAIK-AAAQvQAAlr4AAJg9AAC-PgAAUL0AAIK-AABQPQAATT8AAPg9AAB0PgAA6D0AAGy-AACSPgAAQLwAABC9IAA4E0AJSHxQASqPAhABGoACAACAOwAAqD0AAES-AAAfvwAAXL4AACQ-AACmPgAAoLwAADC9AADgvAAAQLwAACy-AABAPAAANL4AAGw-AACgvAAAuD0AAKo-AAA0vgAAsj4AAEC8AAA0PgAAUL0AAEA8AACovQAA2L0AADS-AACgPAAAUL0AABy-AADYPQAAJD4AAGy-AACYvQAA4DwAABA9AACuPgAAVD4AAKq-AAAUvgAAyL0AAEw-AAD4vQAAVD4AABQ-AAAQPQAAf78AAEQ-AABkPgAA-D0AAAw-AAAwvQAA-L0AAKo-AAAwPQAARD4AAIC7AADYvQAAgLsAALg9AAC4PQAAND4AAKI-AABwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=FdBf44rp0LU","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":3840,"cheight":2160,"cratio":1.77777,"dups":["13130706099511085550"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3555154264"},"16786679170945077717":{"videoId":"16786679170945077717","docid":"34-3-15-ZDB22F7417C23A49B","description":"Calculus 1 - Genel Matematik Vize-Final / Genel Tekrar.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3936459/c1194eec1d2f4732bde0c133b17fa1c3/564x318_1"},"target":"_self","position":"1","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=videoid:16786679170945077717","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitmeni tarafından sunulan, üç saat aralıksız devam eden kapsamlı bir ders anlatımıdır. Eğitmen, Instagram'da paylaştığı bir paylaşım sonrası gelen katkılar üzerine bu videoyu hazırladığını belirtmektedir.","Video, kalkülüs ve genel matematik konularını kapsamlı şekilde ele almaktadır. İçerik, fonksiyonların tanım kümeleri, birebir ve örten fonksiyonlar, ters fonksiyonlar, bileşke fonksiyonlar, tek-çift fonksiyonlar, tam değer fonksiyonu, işaret fonksiyonu, trigonometrik fonksiyonlar, hiperbolik fonksiyonlar, limitler, fonksiyonların sürekliliği, türev, ara değer teoremi, fonksiyon analizi ve asimptotlar gibi konuları kapsamaktadır.","Eğitmen, 19 soru içeren bir dosya kullanarak konuları anlatmakta ve her bir konuyu örnek sorular üzerinden pekiştirmektedir. Video, özellikle AYT sınavına hazırlanan öğrenciler için hazırlanmış olup, özel üniversitelerdeki vize sınavlarından seçilen sorular da çözülmektedir. Eğitmen, öğrencilerin kendi uygulamalarını yapmaları için MATLAB veya Desmos gibi araçları kullanmalarını önermektedir."]},"endTime":7845,"title":"Kalkülüs ve Genel Matematik Vize Hazırlık Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Giriş ve Paylaşım Hakkında Bilgilendirme","list":{"type":"unordered","items":["Konuşmacı, iki-üç gün önce Instagram'da kalkülüs ve genel matematik için vize öncesi faydalı bir paylaşım yapmış.","İzleyicilerden dosyalar, eski vize soruları ve örnek çözümlü sorular paylaşmaları istenmiş.","Konuşmacı, bu paylaşımın analiz dersi için değil, genel matematik dersi için olduğunu vurguluyor."]},"beginTime":1,"endTime":54,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=1&ask_summarization=1"},{"index":1,"title":"Analiz Dersi Hakkında Bilgiler","list":{"type":"unordered","items":["Konuşmacı, analiz dersinde doğrudan türev soruları yerine ispat yaparak ilerlediklerini belirtiyor.","Altı-yedi soru sorulduğunda beş-altı tanesi ispatlı, bir tanesi uygulama sorusu oluyor.","Limit sorularına bile iki-üç teorem kullanılıyor ve sandviç teoremi gibi kavramlar kullanılıyor."]},"beginTime":54,"endTime":78,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=54&ask_summarization=1"},{"index":2,"title":"Dosya İçeriği ve Kullanım Önerileri","list":{"type":"unordered","items":["Dosya içerisinde teorem kullanabileceğimiz bazı sorular bulunuyor.","Konuşmacı, hafta içinde sadece delta sadece de soruları içeren bir dosya da hazırlamayı düşünüyor.","Dosya on dokuz soru içeriyor ve izleyicilerin eksik hissettiği yerleri görebilecekleri belirtiliyor."]},"beginTime":78,"endTime":139,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=78&ask_summarization=1"},{"index":3,"title":"Müfredat Farklılıkları ve Dosya Paylaşımı","list":{"type":"unordered","items":["Her okulda müfredat farklı olabiliyor; bazılarında fonksiyon tanımları ve grafikler üzerinde çok durulmuş, bazılarında limitte daha çok durulmuş.","Konuşmacı, tüm soru tiplerini koymaya çalıştığını belirtiyor.","Dosya herkese açık paylaşılacak ancak iki-üç gündür çok emek harcanmış olduğu için sadece katılanlar için değil, tüm izleyiciler için paylaşılacak."]},"beginTime":139,"endTime":172,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=139&ask_summarization=1"},{"index":4,"title":"Giriş ve Üyelik Bilgileri","list":{"type":"unordered","items":["İzleyiciler videoyu beğenirse \"katıl\" butonundan 5-10 lira arasında bir üyelik ücreti ödeyebilirler.","Üyelik, video sahibi için teşekkür etmek için bir yol olarak sunulmaktadır.","Videoda 19 adet sorunun çözümü paylaşılacaktır."]},"beginTime":177,"endTime":219,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=177&ask_summarization=1"},{"index":5,"title":"Fonksiyonların Tanım Kümeleri","list":{"type":"unordered","items":["Fonksiyonların tanım kümelerini bulmak için fonksiyon bilgisine sahip olmak gerekir.","Kök fonksiyonunun tanım kümesi, kök içindeki ifadenin sıfırdan büyük veya eşit olması koşuluyla belirlenir.","Logaritma fonksiyonunun tanım kümesi, logaritmanın içi sıfırdan büyük olması koşuluyla belirlenir."]},"beginTime":219,"endTime":256,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=219&ask_summarization=1"},{"index":6,"title":"Örnek Soruların Çözümü","list":{"type":"unordered","items":["A şıkkında, iki farklı fonksiyonun tanım kümelerinin kesişimi alınarak çözüm kümesi bulunur.","B şıkkında, sinüs fonksiyonunun sıfır olduğu tam sayı değerleri çıkarılarak tanım kümesi belirlenir.","C şıkkında, arccos ve arcsin fonksiyonlarının tanım kümeleri incelenerek çözüm kümesi bulunur."]},"beginTime":256,"endTime":575,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=256&ask_summarization=1"},{"index":7,"title":"Daha Karmaşık Bir Soru","list":{"type":"unordered","items":["D şıkkında, kosinüs fonksiyonunun belirli aralıklarda değerleri incelenerek tanım kümesi bulunur.","Tablo metodu kullanılarak fonksiyonun işaret tablosu oluşturulur.","Çözüm kümesi, kosinüs fonksiyonunun belirli aralıklarda 1/2'den büyük veya eşit olması koşuluyla belirlenir."]},"beginTime":575,"endTime":927,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=575&ask_summarization=1"},{"index":8,"title":"Birebir ve Örten Fonksiyonlar","list":{"type":"unordered","items":["Matematik bölümünde birebir ve örten fonksiyonlar konusunda ciddi sorular sorulabilir.","Birebir fonksiyon için, tanım kümesinden alınan tüm x₁ ve x₂ elemanları için, eğer bunların görüntüleri birbirlerine eşit iken tanımları da eşit ise f birebirdir.","Örten fonksiyon için, B kümesi üzerinden her y elemanı için en az bir x elemanı vardır ki f(x) = y olsun."]},"beginTime":934,"endTime":1122,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=934&ask_summarization=1"},{"index":9,"title":"Örnek Soruların Çözümü","list":{"type":"unordered","items":["f(x) = 1 - x² fonksiyonu birebir değildir çünkü iki kökü vardır (x = -1 ve x = 1), ancak örten bir fonksiyondur.","|x| fonksiyonu birebir değildir çünkü farklı x değerleri aynı görüntüye sahip olabilir, ancak örten bir fonksiyondur.","f(x) = 2^(x-1) fonksiyonu birebirdir ancak örten değildir çünkü [0,1] aralığını örtemez.","f(x) = -2 - 1/2(x+1) fonksiyonu birebirdir ve örten bir fonksiyondur."]},"beginTime":1122,"endTime":1443,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=1122&ask_summarization=1"},{"index":10,"title":"Fonksiyonların Tersi","list":{"type":"unordered","items":["Üçüncü soruda bir fonksiyonun tanım kümesi belirleniyor ve tersi alınarak bir aralığı yapılıyor.","Fonksiyonun tanım kümesinde paydasını sıfır yapan değerler (örneğin 3) bulunmamalıdır.","Ters fonksiyon bulmak için x gördüğünüz yerlere f⁻¹(x) dönüşümü uygulanır ve f⁻¹(x) = (4+3x)/(x+2) olarak bulunur."]},"beginTime":1447,"endTime":1591,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=1447&ask_summarization=1"},{"index":11,"title":"Fonksiyonların Bileşkesi","list":{"type":"unordered","items":["Fonksiyonların bileşkesi (fog) tanımlanırken, f fonksiyonu A'dan B'ye, g fonksiyonu B'den C'ye gider.","A'dan C'ye gitmek için önce f fonksiyonu, sonra g fonksiyonu uygulanır.","f(g(x)) = (1-x³)/(1-1/x³) şeklinde hesaplanır."]},"beginTime":1591,"endTime":1782,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=1591&ask_summarization=1"},{"index":12,"title":"Tek ve Çift Fonksiyonlar","list":{"type":"unordered","items":["Bir fonksiyon f tek fonksiyon ise, f(-x) = -f(x) olmalıdır.","f(x) = x³ - x³ + x² + 1 = x/x+1 olduğundan f tek fonksiyondur.","f(x) = log₂(x+√(x²+1)) fonksiyonunun tek olup olmadığı için, ifadenin eşleniği ile çarpılıp bölünerek log₂(1/(√(x²+1)+x)) = -log₂(√(x²+1)+x) olarak yazılır ve f tek fonksiyondur."]},"beginTime":1782,"endTime":2068,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=1782&ask_summarization=1"},{"index":13,"title":"Tek ve Çift Fonksiyonlar","list":{"type":"unordered","items":["Fonksiyonların tek veya çift olup olmadığını belirlemek için mutlak değer ve fonksiyonların özellikleri kullanılır.","Reel sürekli iki tek fonksiyonun çarpımı çift fonksiyon, bölümü de tek fonksiyon verir.","Arctan(2x) fonksiyonu tek fonksiyondur çünkü tanjant x'in orijine göre simetrik olduğu için arctan(2x) de tek fonksiyondur."]},"beginTime":2072,"endTime":2249,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=2072&ask_summarization=1"},{"index":14,"title":"Tam Değer Fonksiyonu","list":{"type":"unordered","items":["Tam değer fonksiyonu (flor fonksiyonu) tam sayı değerleri için değişmez, ancak reel kısım varsa en küçük reel kısmına götürür.","Negatif değerler için tam değer fonksiyonu, kendisinden küçük en büyük tam sayıya gider.","Tam değer fonksiyonlarının grafiği merdiven şeklinde olup, tam sayılar grafiklerde harici bir şekilde gösterilir."]},"beginTime":2249,"endTime":2533,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=2249&ask_summarization=1"},{"index":15,"title":"İşaret Fonksiyonu","list":{"type":"unordered","items":["İşaret fonksiyonu (signum fonksiyonu) için, fonksiyonun içi pozitifse görüntü 1, negatifse görüntü -1'dir.","İşaret fonksiyonunun grafiği, x=1'in sağında 1, solunda -1, x=0'da 0'dır.","İşaret fonksiyonunun grafiği, fonksiyonun kökleri ve işaret değişim noktalarına göre belirlenir."]},"beginTime":2533,"endTime":2658,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=2533&ask_summarization=1"},{"index":16,"title":"Signum Fonksiyonu","list":{"type":"unordered","items":["Eksi bir ve altı aralığında görüntüler negatif gelecektir.","Signum fonksiyonu, negatif değerler için belirli bir değer alır.","Signum fonksiyonu ile ilgili soru çözümü isteyenler yorumlarda belirtebilir."]},"beginTime":2661,"endTime":2735,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=2661&ask_summarization=1"},{"index":17,"title":"Periyot Bulma","list":{"type":"unordered","items":["Periyot bulma soruları zordur ve ispatları istenebilir.","Sinüs fonksiyonunun grafiğini çizerken, katsayı a değiştirildiğinde sadece frekans değişir, periyota etki etmez.","Periyot, f(x) = f(x+T) sağlayan en küçük pozitif T sayısıdır."]},"beginTime":2735,"endTime":2813,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=2735&ask_summarization=1"},{"index":18,"title":"Periyot Etkileyen Faktörler","list":{"type":"unordered","items":["İçerideki ifadeyi x/2 şeklinde yazmak, grafiği P/2 kadar sağa veya sola oynatmak demektir ve periyotta değişikliğe sebep olmaz.","Fonksiyona k eklemek, fonksiyonu yukarı veya aşağı oynatmak dışında hiçbir etkiye sebep olmaz.","Periyodu etkileyecek tek şey, içerideki m katsayısıdır."]},"beginTime":2813,"endTime":2850,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=2813&ask_summarization=1"},{"index":19,"title":"Sinüs ve Kosinüs Periyotları","list":{"type":"unordered","items":["Sinüs 2x fonksiyonunun periyodu P/2'dir, sinüs x'in periyodu P'dir.","Sinüs 3x fonksiyonunun periyodu 2P/3'tür.","Negatif periyot olmaması için periyodu bulurken ifadenin önüne mutlak değer koyulur."]},"beginTime":2850,"endTime":2921,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=2850&ask_summarization=1"},{"index":20,"title":"Trigonometrik Fonksiyonların Periyotları","list":{"type":"unordered","items":["Kosinüs ve sinüs fonksiyonlarının periyotları aynıdır.","Tanjant fonksiyonunun periyodu P/2'dir.","Sin²x + cos²x = 1 ve sin²x = (1 - cos2x)/2 dönüşümleri periyot hesaplamalarında kullanılır."]},"beginTime":2921,"endTime":3040,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=2921&ask_summarization=1"},{"index":21,"title":"Karmaşık Fonksiyonların Periyotları","list":{"type":"unordered","items":["Sinüs x çarpı kosinüs x ifadesi, sinüs 2x/2 şeklinde yazılabilir.","İki veya daha fazla trigonometrik fonksiyonun toplamının periyodu, bu fonksiyonların periyotlarının en küçük ortak katıdır.","Örneğin, cos(3x) + sin(4x) fonksiyonunun periyodu 2π'dir."]},"beginTime":3040,"endTime":3142,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=3040&ask_summarization=1"},{"index":22,"title":"Mutlak Değerli Trigonometrik Fonksiyonlar","list":{"type":"unordered","items":["Mutlak değerli trigonometrik fonksiyonlar (sinüs mutlak değer x, kosinüs mutlak değer x) için değişiklikler söz konusudur.","Kosinüs x artı t = mutlak değer kosinüs x eşitliğini sağlayan en küçük t değeri aranmaktadır.","Mutlak değerli fonksiyonların periyotları, orijinal fonksiyonların periyotlarının yarısıdır (örneğin sinüs x'in periyodu π ise, sinüs mutlak değer x'in periyodu π/2'dir)."]},"beginTime":3150,"endTime":3312,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=3150&ask_summarization=1"},{"index":23,"title":"Periyodik Fonksiyonların Özellikleri","list":{"type":"unordered","items":["Sinüs x kare fonksiyonunun periyodik olup olmadığı incelenmektedir.","Periyodik bir fonksiyon için f(x) = f(x+T) eşitliği sağlanmalıdır.","Sinüs x kare fonksiyonunun periyodik olmadığı, bu varsayımla çelişki yaratıldığı gösterilmiştir."]},"beginTime":3312,"endTime":3616,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=3312&ask_summarization=1"},{"index":24,"title":"Hiperbolik Fonksiyonlar","list":{"type":"unordered","items":["Hiperbolik fonksiyonların grafiklerini bilmek önemlidir.","Cosinüs hiperbolik x = (e^x + e^(-x))/2 formülü ve grafiği incelenmektedir.","Sinüs hiperbolik x = (e^x - e^(-x))/2 formülü ve grafiği de açıklanmıştır."]},"beginTime":3616,"endTime":3694,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=3616&ask_summarization=1"},{"index":25,"title":"Matematik Problemleri Çözümü","list":{"type":"unordered","items":["E üzeri x = 1 ise x = ln 2 olarak bulunur.","Arksinüs x = sinüs hiperbolik y ise, her tarafı e üzeri y ile çarparak ve e üzeri y - 1'in karesi ile işlem yaparak y = ln(x + √(x² + 1)) sonucuna ulaşılır.","Tanjant hiperbolik x = e üzeri x / (e üzeri x + e üzeri -x) ise, her tarafı e üzeri y ile çarparak ve e üzeri 2y - 1'in karesi ile işlem yaparak y = 1/2 ln(1 + x / 1 - x) sonucuna ulaşılır."]},"beginTime":3699,"endTime":4049,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=3699&ask_summarization=1"},{"index":26,"title":"Limit Problemleri","list":{"type":"unordered","items":["Limit x giderken sıfıra sinüs ax/b ifadesinde, a'yı çarpan olarak alarak ve u dönüşümü yaparak limitin b'ye eşit olduğu gösterilir.","Limit x giderken a sinüs mx/nx ifadesinde, m/n şeklinde yazılabilir ve aynı sonuç elde edilir.","Limit x giderken a nx/sinüs mx ifadesinde de n/m şeklinde yazılabilir ve aynı sonuç elde edilir.","Limit x giderken a tanjant mx/tanjant nx ifadesinde, paydasını sinüsle vererek aynı sonuç elde edilir."]},"beginTime":4049,"endTime":4210,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=4049&ask_summarization=1"},{"index":27,"title":"Limit Problemleri Çözümü","list":{"type":"unordered","items":["Limit x giderken sıfıra sinüs 5x/x⁵ ifadesinde, sinüs 2x/x = 2 olduğundan, 5 tane 2'nin çarpımı olan 32 sonucuna ulaşılır.","Limit x giderken eksi 2'ye (5x+10)√(x+3)+1 / (√(x+3)-1) ifadesinde, eşlilikle çarpma yerine sadeleştirme yaparak limitin 10 olduğuna ulaşılır."]},"beginTime":4210,"endTime":4329,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=4210&ask_summarization=1"},{"index":28,"title":"Limit Problemleri Çözümü","list":{"type":"unordered","items":["Cos 2x = 1 - 2sin²x dönüşümü kullanılarak limit problemi çözülüyor.","Sinüs x bölü x ifadesi limit x sonsuza giderken sıfıra gider çünkü sıkıştırma teoremi gereği -1 ≤ sinx/x ≤ 1 olur.","Limit problemlerinde sinüs ve tanjant fonksiyonlarının limit değerleri kullanılarak çözüm bulunuyor."]},"beginTime":4330,"endTime":4507,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=4330&ask_summarization=1"},{"index":29,"title":"Türev ve Limit İlişkisi","list":{"type":"unordered","items":["Tanjant kök x fonksiyonunun türevi, limit h sıfıra giderken (f(x+h) - f(x))/h formülüyle hesaplanıyor.","Tanjant kök x'in türevi 1/2x sekant x olarak bulunuyor.","Limit problemlerinde trigonometrik fonksiyonların limit değerleri kullanılarak çözüm yapılıyor."]},"beginTime":4507,"endTime":4649,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=4507&ask_summarization=1"},{"index":30,"title":"Trigonometrik Dönüşümler","list":{"type":"unordered","items":["Cos 6x - 1 ifadesi cos 2x = 1 - 2sin²x dönüşümü kullanılarak 1 - 2sin²(3x) şeklinde yazılıyor.","Sinüs ve tanjant fonksiyonlarının limit değerleri kullanılarak limit problemi çözülüyor.","Sinüs 3x/x, tanjant 2x/x ve sinüs x/x ifadelerinin limit değerleri 3, 2 ve 1 olarak bulunuyor."]},"beginTime":4649,"endTime":4777,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=4649&ask_summarization=1"},{"index":31,"title":"Kosinüs Fark Formülü","list":{"type":"unordered","items":["Kosinüs farkı formülü cos(x+y) - cos(x-y) = -2sin(x)sin(y) olarak açıklanıyor.","Kosinüs fonksiyonlarının toplam formülü cos(x+y) = cosx.cosy + sinx.siny olarak hatırlatılıyor.","Limit probleminde sinüs ve tanjant fonksiyonlarının limit değerleri kullanılarak çözüm bulunuyor."]},"beginTime":4777,"endTime":4949,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=4777&ask_summarization=1"},{"index":32,"title":"Limit Problemleri Çözümü","list":{"type":"unordered","items":["Eğitmen, limit problemlerini çözerek öğrencilerin vizelerinin güzel geçmesini diliyor.","İlk limit probleminde, kosinüs fonksiyonunun sürekli olduğu için limiti içeriye alarak çözümü gösteriyor.","İkinci limit probleminde, mutlak değer ve signum fonksiyonlarını kullanarak x=2 noktasının sağ ve sol limitlerini hesaplıyor."]},"beginTime":4952,"endTime":5093,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=4952&ask_summarization=1"},{"index":33,"title":"Sonsuzluk Problemleri","list":{"type":"unordered","items":["Sonsuzluk sorularında en büyük kuvveti alarak çözümü gösteriyor.","Üçüncü limit probleminde, kosinüs ve sinüs fonksiyonlarının -1 ile 1 aralığında olduğunu kullanarak sıkıştırma yöntemi uyguluyor.","Dördüncü limit probleminde, mutlak değer ve kök fonksiyonlarını kullanarak çözümü gösteriyor."]},"beginTime":5093,"endTime":5320,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=5093&ask_summarization=1"},{"index":34,"title":"Tam Değer Fonksiyonu ve Sonsuzluk","list":{"type":"unordered","items":["Beşinci limit probleminde, tam değer fonksiyonunu kullanarak x=2 noktasının sağ ve sol limitlerini hesaplıyor.","Altıncı limit probleminde, kök fonksiyonunun eşleniğini kullanarak sonsuzluk problemini çözüyor.","Sonuç olarak, limitin y=1 doğrusu olan yatay asimptotu olduğunu belirtiyor."]},"beginTime":5320,"endTime":5566,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=5320&ask_summarization=1"},{"index":35,"title":"Sürekli Fonksiyonlar","list":{"type":"unordered","items":["Sürekli fonksiyonlar için limitli olmak ve o noktanın görüntüsünün limite eşit olması gerekiyor.","Bir fonksiyonun sürekli olması için x'in solu ve sağının limitinin eşit olması ve o noktanın görüntüsünün limite eşit olması gerekiyor.","Verilen örnekte a=1 ve b=4/3 olarak bulunuyor."]},"beginTime":5576,"endTime":5661,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=5576&ask_summarization=1"},{"index":36,"title":"Limit Problemi Çözümü","list":{"type":"unordered","items":["Limit x giderken 101'e soldan veya sağdan giderken, sinüslü ifadelerde dönüşüm yaparak limit hesaplanıyor.","x'in 101'e soldan gittiği durumda, sinüs ifadesi eksi sonsuza gidiyor ve limit 2 olarak bulunuyor.","x'in 101'e sağdan gittiği durumda, c-1 ifadesi 2 olarak bulunuyor ve c=203 olarak hesaplanıyor."]},"beginTime":5661,"endTime":5950,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=5661&ask_summarization=1"},{"index":37,"title":"Son Konular","list":{"type":"unordered","items":["Dosyada curve streching ve ikinci derece türevin yorumları konuları da var.","İkinci derece türevin yorumları dosyadaki en güzel soru olarak belirtiliyor."]},"beginTime":5950,"endTime":5960,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=5950&ask_summarization=1"},{"index":38,"title":"Ara Değer Teoremi ve Polinomlar","list":{"type":"unordered","items":["Ara değer teoremi, kapalı [a,b] aralığında tanımlı ve sürekli bir fonksiyon için, f(a) \u003c 0 ve f(b) > 0, o zaman [a,b] aralığında en az bir c elemanı vardır ki f(c) = 0, der.","Tek dereceli bir polinom fonksiyonu için, limit x → -∞ p(x) = -∞ ve limit x → ∞ p(x) = ∞ olduğunda, ara değer teoremi gereği en az bir c değeri vardır ki f(c) = 0, der.","Beşinci dereceden bir polinomun en fazla beş reel kökü vardır."]},"beginTime":5965,"endTime":6107,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=5965&ask_summarization=1"},{"index":39,"title":"Ters Fonksiyonun Türevi","list":{"type":"unordered","items":["Ters fonksiyonun türevi, f⁻¹(f(x)) = x eşitliğinden türetilir ve f⁻¹'(x) = 1 / f'(f(x)) formülüyle hesaplanır.","Verilen fonksiyonun tersi doğrudan alınamadığı için, türev formülü kullanılarak f⁻¹'(-1) = 1/f'(-1) hesaplanır.","f(x) = x³ - 3x² - 1 fonksiyonunun x = 3 noktasında türevi f'(3) = 9 olduğundan, f⁻¹'(-1) = 1/9 olarak bulunur."]},"beginTime":6107,"endTime":6304,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=6107&ask_summarization=1"},{"index":40,"title":"Türevin Limit Tanımı ile Hesaplanması","list":{"type":"unordered","items":["Türevin limit tanımı kullanılarak, f'(x) = lim[h→0] (f(x+h) - f(x)) / h formülü uygulanır.","Verilen fonksiyonun türevi, limit tanımı kullanılarak -1/(2(x+2)³) olarak hesaplanır.","Bu sonuç, f(x) = (x+2)⁻² fonksiyonunun türevinin f'(-1) = -1/2 olarak hesaplandığı sonucuna eşdeğerdir."]},"beginTime":6304,"endTime":6495,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=6304&ask_summarization=1"},{"index":41,"title":"Teğet ve Normal Line'lar","list":{"type":"unordered","items":["Bir eğrinin üzerindeki bir noktadan çizilen teğetin eğimi, o noktadaki türev değerine eşittir.","Verilen denklem x²y - xy² = x²y² + 2y + 2 için kısmi türev alınarak f'(x,y) = (2xy + x² - y² - 2xy) / (2xy² + 2y + 2) bulunur.","x = 0, y = 2 noktasında türev değeri hesaplanarak teğet line'ın eğimi bulunur."]},"beginTime":6495,"endTime":6597,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=6495&ask_summarization=1"},{"index":42,"title":"Teğet ve Normal Line Problemi","list":{"type":"unordered","items":["dy/dx türevi hesaplanarak, x=2 noktasında dy/dx=4 olarak bulunuyor.","Teğet denklemi, (y-2)=4(x-2) şeklinde yazılabilir ve sonucu y=4x+2 olarak elde edilir.","Normal line, teğetin dik olduğu doğrudur ve eğimleri çarpımı -1 olmalıdır."]},"beginTime":6603,"endTime":6695,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=6603&ask_summarization=1"},{"index":43,"title":"Logaritmik Fonksiyonun Türevi","list":{"type":"unordered","items":["y=x^(sinx) fonksiyonunun türevi için her iki tarafın da logaritması alınır: ln(y)=sinx·ln(y).","Türev alınarak y' = y·(sinx·cosx + 1/x) olarak bulunur.","x=2 noktasında y' = 1 olarak hesaplanır ve normal line denklemi y=x-1 olarak bulunur."]},"beginTime":6695,"endTime":6911,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=6695&ask_summarization=1"},{"index":44,"title":"Balon Hacmi ve Yüzey Alanı Problemi","list":{"type":"unordered","items":["Balon hacmi V=4/3πr³ formülüyle hesaplanır ve r=5 metre olduğunda hacim 1000 metreküp/dakika olarak verilir.","Zincir kuralı kullanılarak dr/dt = 1 olarak bulunur.","Yüzey alanı A=8πr formülüyle hesaplanır ve r=5 metre olduğunda yüzey alanı 40π birim² olarak bulunur."]},"beginTime":6911,"endTime":7113,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=6911&ask_summarization=1"},{"index":45,"title":"Fonksiyonun Grafiği ve Özellikleri","list":{"type":"unordered","items":["Birinci türev, fonksiyonun artanlığını ve azalanlığını gösterir, işaret değiştirdiği noktalara ekstremum nokta denir.","İkinci türev, fonksiyonun konkavitesini (dışbükey veya içbükey) gösterir.","Konkavitenin değiştiği noktaya büküm noktası denir, ancak her ikinci türevin olduğu nokta büküm noktası değildir."]},"beginTime":7113,"endTime":7235,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=7113&ask_summarization=1"},{"index":46,"title":"Asimptotlar","list":{"type":"unordered","items":["Üç tür asimptot vardır: dikey asimptot (x'lerin paydada tanımsız yapan yerler), yatay asimptot (fonksiyonun sonsuza gittiğimizde artı veya eksiye yakınsadığı noktalar) ve eğik asimptot (fonksiyonun bir doğruya yaklaşıp yaklaşmadığı noktalar).","Eğik asimptotun tespiti için polinom bölmesi yapılabilir, ancak bu soruda çıkmayacak."]},"beginTime":7240,"endTime":7345,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=7240&ask_summarization=1"},{"index":47,"title":"Fonksiyonun Analizi","list":{"type":"unordered","items":["Fonksiyonun tanım kümesi (domain) reel sayılar olup, paydayı sıfır yapan hiçbir değer yoktur.","Birinci türev sıfırdan küçük olduğundan fonksiyon tüm x değerleri için monoton azalandır.","İkinci türev sıfır yapan tek katlı kök x=1'dir ve bu noktada fonksiyon concave'den convex'e geçer."]},"beginTime":7345,"endTime":7573,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=7345&ask_summarization=1"},{"index":48,"title":"Fonksiyonun Özellikleri","list":{"type":"unordered","items":["Fonksiyon x=1 noktasından geçer ve bu noktada f(1)=1+e/e'dir.","Fonksiyonun yatay asimptotları y=1+e/e ve y=1'dir.","Fonksiyonun grafiği x=1 noktasında büküm noktası olup, bu noktadan sonra eksi sonsuza giderken y=1'e yaklaşır."]},"beginTime":7573,"endTime":7836,"href":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=7573&ask_summarization=1"}],"linkTemplate":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus 1 - Genel Matematik Vize-Final / Genel Tekrar","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=LveH5BILAlM\",\"src\":\"serp\",\"rvb\":\"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_AQD7AwMOCgj7Agb1APr4_v4A8_0B9fUBAADz7f_1Af8AAP0T-vMEAAAAAPvxDfj-AAAQAff8BAAAABD69QH1AAAAABj2B_4AAAD9EvEAA_8AAAgEAgoAAAAA-Q78-_8AAAD-Cf8DAAAAAP3y-gQAAAAAIAAtydbUOzgTQAlITlACKnMQABpgEhEANCYF2-AVJPEK2hsf2c4EC-LO8f_s_gDzAs_l8D_S5vpO_0TvBPGzAAAAFu85M7sA32K2C-AIIgkN2LnHDA5_Bi7gB-4YzuezLP0H5BL75MTwAOcNzO899q8cIfIOIAAtG3UsOzgTQAlIb1ACKq8GEAwaoAYAAIBBAADAQAAAMEIAAIBBAACAwAAAFEIAAFhCAACwQQAA6MEAAHBBAADQwQAAAEAAAIDCAADAwAAAiEIAACTCAAAIQgAAEMEAACBBAACiwgAAAEAAAJzCAACAPwAAUEIAADRCAABgQQAAQMIAABzCAAAEQgAADEIAAI7CAAA4QgAAFMIAAIDAAACAwgAAwEAAADBBAACMQgAAEEEAAFDBAABEQgAALEIAAIDBAABIQgAAIEIAAAzCAAB0wgAAcMEAAIBCAACgQQAAcMEAAODAAABQwQAA8EEAAGBBAAAowgAAXMIAAKhBAABAQAAADEIAANBBAAAAwgAAfMIAALLCAACgQAAAmMEAAMDAAABEwgAAIEEAAAzCAACIQgAAlEIAAAzCAAAgQgAAgMEAANLCAAC-wgAANMIAAK5CAAAEwgAAXMIAAODBAAAAwgAAMEEAABBCAAAQQQAAIEEAAEBBAAAEQgAARMIAAAAAAAAkQgAACEIAAGzCAAAAQAAAzsIAAJhBAADYQQAAOEIAAMDAAAAMwgAAgMAAABRCAAC0wgAAjMIAAAAAAADAwAAAKEIAAMDAAAC8QgAAKEIAAJhBAACAwQAAEEEAAPBBAADQQQAA-MEAADTCAAC4wQAAnsIAANDBAACYwQAAJMIAAAjCAADoQQAA6EEAAIDAAABUwgAARMIAAFDCAAA8QgAAwEAAABzCAAA0QgAAQEAAAADBAAAAAAAANEIAACjCAADgwgAA2EEAADBBAAAAwQAAoEAAAJhBAADAwQAAGMIAAGDBAAA0QgAAuMEAAFBBAAAAAAAAMEEAAKjBAACAwQAA0MEAAEzCAABcwgAASMIAAGBCAABIwgAAeEIAAATCAADgwAAAUMEAADRCAABAQgAAJEIAAJBCAACgwQAAWMIAADxCAACQwQAAYEEAAJDBAABAwAAAAEAAAMDBAAAwQgAAYEIAAADBAADQwQAAIMEAANBBAADCQgAAoMAAAFDBAAC4QQAAAMIAANBBAAA8wgAAYMEAAIDAAABAwQAAEEEAAKDBAAAowgAAoEEAAEzCAACgwCAAOBNACUh1UAEqjwIQABqAAgAALD4AABy-AABwPQAARD4AAOC8AACePgAAbL4AAAW_AADSvgAAuD0AAPi9AABUvgAA2j4AAES-AADavgAATL4AAKI-AACIPQAAdD4AAD0_AAB_PwAAVL4AADA9AACyvgAAjj4AAHC9AAC2PgAAkj4AAHA9AADgPAAAsj4AAJ6-AACyPgAAxj4AAIA7AAAQvQAA6D0AAK6-AADuvgAAlr4AAKI-AABQPQAAqj4AAPK-AACqPgAA2L0AAHQ-AABAvAAAiD0AACS-AAAMvgAAnr4AAFA9AAC-PgAAnj4AAAQ-AAAjPwAA8r4AALi9AABQvQAAdL4AAEC8AAAUPgAA7r4gADgTQAlIfFABKo8CEAEagAIAAJi9AAC6PgAATL4AABu_AACGvgAAED0AAMY-AABAPAAAfD4AABw-AACAOwAABL4AAHC9AACovQAA-L0AADA9AACCvgAAAT8AALa-AACSPgAAgDsAAIq-AAB0vgAAML0AAIC7AABwPQAAgDsAAKg9AABkvgAAgLsAAKg9AADIPQAA2r4AAFQ-AADovQAARL4AABQ-AAC4PQAAvr4AAHS-AACgPAAAuD0AAAQ-AABAPAAA2D0AAFS-AAB_vwAAkj4AANg9AAA8vgAAEL0AAGQ-AABwvQAA-D0AACQ-AAA0PgAAuL0AAPg9AAAQvQAAND4AAHA9AAB0vgAAmD0AAIi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=LveH5BILAlM","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16786679170945077717"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"10380429351396265512":{"videoId":"10380429351396265512","docid":"34-2-12-ZB0B127C8CFE71940","description":"Ayrıcalıklardan yararlanmak ve kanala destek olmak için kanala katılın: / @tunçkurtmatematik Selamlar, sizden gelen mesajlar üzerine Calculus 1 ödev çözümleri, mat 101-102-103-104 dersinin...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1017787/fdebc149ff62c912ab467b2fd36a6901/564x318_1"},"target":"_self","position":"2","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DZ5J-lH-mV3Q","linkTemplate":"/video/preview/10380429351396265512?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus-Genel Matematik Türev Vize-Final Soruları | Türev Kuralları, Teğet Denklemi, Grafik Çizimi","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Z5J-lH-mV3Q\",\"src\":\"serp\",\"rvb\":\"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-wD4_vkEDgX9AfHvCwX8_v8A-vQG_gYE_gD06P4C-gAAAPQQCAD6AAAA_QruA_b9AQAXBPMA9AAAAAj5B_jzAAAAAQbuDP8BAAD3C_78A_8AAAMCCQgAAAAABxAAD_4AAAAEBPwHAAAAAALo9QMBAAAAIAAt_JnHOzgTQAlITlACKnMQABpgI_8AXyzfyZIWDtr4xR8Uzb8M7-yf8f8O-v_MJfXw8FHH1PVH_xTvA_ybAAAAQPwN-c8AxX_B4Mb9JyYK3szYIhdqHSsN7wv81weKDMf43RnR0eEYALXs380b65EaNFbgIAAto8UOOzgTQAlIb1ACKq8GEAwaoAYAAJDBAABQQQAAAEEAAIBAAADQwQAAcEEAAIxCAACgQAAAPMIAABjCAAAwwgAAQMAAAHjCAACQwQAAnkIAALDCAAD4QQAAWMIAADDBAAAYwgAAAEIAAHzCAABgwgAAHEIAAIJCAAAEwgAAgsIAAIA_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-AABUPgAAED0AACO_AADCvgAAcD0AADC9AAAQPQAAJD4AABC9AAC6vgAALL4AAI4-AAAQvQAAcD0AABc_AAB_PwAAMD0AAKg9AACmvgAARD4AAEA8AAB8PgAAdD4AALi9AAAwPQAAhj4AAPi9AAAMPgAA4j4AALi9AAAMvgAA-D0AAGy-AACSvgAAlr4AACQ-AACOPgAAij4AAIa-AACAOwAAjr4AACQ-AABEvgAAMD0AACy-AAC4PQAAuL0AAKA8AABkPgAA6D0AAKi9AAADPwAAqr4AACS-AABkPgAALL4AAKg9AAAMPgAAPL4gADgTQAlIfFABKo8CEAEagAIAAEC8AACKPgAARL4AADe_AACCvgAAQDwAAJo-AABwvQAAEL0AAKI-AADYPQAAmL0AAIi9AADIvQAAUL0AADC9AACCvgAABT8AAFy-AAB0PgAAiD0AAFS-AAAUvgAAuL0AABC9AABQPQAAiL0AALg9AABkvgAAUD0AALg9AABAPAAAZL4AADA9AADIvQAAJL4AAKg9AAA0PgAApr4AAHy-AAAMPgAA-D0AAAw-AAAQPQAAuD0AANi9AAB_vwAAjj4AAHw-AADovQAA6D0AAIg9AACAOwAA6D0AAJg9AADoPQAAML0AAOg9AACgvAAAED0AALg9AADgvAAAED0AAHC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Z5J-lH-mV3Q","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10380429351396265512"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3211280197069360163":{"videoId":"3211280197069360163","docid":"34-11-5-Z42EC1061C34B9CE1","description":"Learn Calculus 1 in this full college course. This course was created by Dr. Linda Green, a lecturer at the University of North Carolina at Chapel Hill. Check out her YouTube channel...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2842049/b2913092b528987ba639d5bc30630e3b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/bmxuOAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"4","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DHfACrKJ_Y2w","linkTemplate":"/video/preview/3211280197069360163?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus 1 - Full College Course","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=HfACrKJ_Y2w\",\"src\":\"serp\",\"rvb\":\"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-BQkJC_0D6f0J-fz__wDsAvsEAAAAAPYE9vX4AAAAAg0I-PkAAADxBewK_gAAAA0E-e4DAAAAD_P4BAMAAAAKBvcJ_gEAAPb__A0E_wAACQoNCQAAAAD5DvsQ_wAAAPsB_AQAAAAACfUIAwAAAAAgAC0sYNU7OBNACUhOUAIqhAIQABrwAWoR_P_o8fsD3g_iAK8z-v-BAAL_EBTWAK_q_gC_980A-CXyAesR7ADmECEBwRcHAC7a1f8R8AsBNeD8AP0A-wDsG_MAItj1ATkTA__y9O3-zhEyAf3oAgATyg7-DAAA_PETFgAA_-0ABe_mABUCGwAMBycDOfkKA-DQCwHpIOr_5gPpAOMLCQPz8gb43AQfAgLf2AALJgb60ST_-iLo7QLY3hf8-zXn-zYN_gr46PT75gLvBhUC9QH7HRH5AxL7-wT8EvrjHf_4DBkNABLKBwbt-f3--dT1Dvz0-Pj58w0E8fT7_dwT_vwC_vgNAg4F8CAALb9PJDs4E0AJSGFQAirPBxAAGsAHahbQvqyUGT1TDfe7CgfMvVcPFLw0hQ69qOEbvt8W7DyH20Y8GJgFPoAz6zt_s727BFQ4vpahorsESL68xVWFPlQwb72bfyq8ehcvvgg8MD0pn9S89aFrvoTTBz10NcO7yTM0PTjoXL1QkDO8VFMCPtxLOr12zBC8b4sIvUNHB7oj2Bi9UZZrvIF0pr2bc9M752FXPUa4JL1k10w9IOsJPsVt2byqmTW8gN4KPdSZ_7uE1G07zBtUu_YlG7z1GQa9D_yOPfyMKz3fIPU8z9kCvQkrALsGt1o8wIkyvL0IiTzBcA28rGMLPQ0GMjxa7Ju8aTPzPB5v8r3XJdM6qMghvgJ8HD3o6W089bwrPs0seDz6er48A3NZvQ3mmj0vYy-8PptyO7AeN737kYW6YCETPRvcgT1OiM47xBA0PQRe3jtn_008CWTAPM9ZdT2FY7E8huJOPZD-cr1GoFW8QVliPe0bDj0XlVy734jOvZIZOby2oU-6E-v5POoLfLwErZ-7zMmlPdd-lzyF_rI7YGeEPfkRv709axI87EO4vY9QA75_QBC7PRVGPeprpzx6BkO85Gm5PV10jbxHASA8x3lJvHVnmjrNGyu7QdgJPUJYor3kPyK6ajNKu332Mj3d37U5biKpPIymTj2bUda76ezJPEwYzT1f6Jq5OHGovBliC72lOpE63mdGPSWjlLyoi9Y7Tzv8Pc0Iyjpz6gS3ElDBPcF4Qb1h0wq6lQwAvVdfWL0zU3M4kuYPvWxGAT1PfG-6lEC0PeDNZL3ih2o5P96SOxAIzzzzxNa4Gx97u2sWjj3CdGA5g-FXPYbcsbxMshS5qz2RvRpSFb4wUQo6GaHpvJQ7Aj20XdG5vqZivJj7JD16k4Q3s8Ugu1FAxL1vPew4uFTru6i7nTuoiCO5WRyZPXWFaD3hTo445m-nPGF4O731yqm2o4uSvRhA17txa7k5bQuFvNjDsDrR3kE4mLRSOz9wxb33LmA5dD6hPIV_nD2MlkS5u89WPXslmj3WzBM4cm_ePS9YsD2t8ag4h0VWPdNlpr2_KPQ2nzrWPTB0pj0LPFm5aHUyvmSkKD0Xyky3PGrMvPKlZr369-W38-5DvWQVIL3bhhe4d3PnvPBjMb3Cw9w3oFTLPffxxrwtj9W498zSvdTRcbwHbQ22KusQPH-e67waMYU3IA3nvBUqDj0eLr425NWevHqJ8b1lVTC4yvRwPSLhKz7xy4o429utvGvwHj6QOSG56FWzvRYk7DzNuCE4bWsQvcV5kz3VICg4IAA4E0AJSG1QASpzEAAaYDkOACEAR-4dE08DE8YNMd_w7ewP3BL_Iun_A_7wIRRIm674DP_20f3VogAAAAbw3eLlAOV_0-ngBOotHOCwvztGaqEcJve5Kvf2xiXb4v_7EigiQgDLLIMtJhPdUuorAiAALQ08FDs4E0AJSG9QAiqvBhAMGqAGAACgQAAAYEEAAMhBAAAYwgAAAEEAAEDBAABwQgAAsMEAAADCAAAwwQAAyEEAAPjCAABwwgAAbMIAAGDBAACwwQAAHMIAAETCAADAwAAAQMAAAGTCAACuwgAAoMEAAKhBAACgwQAAgMEAAEjCAADAwQAAoEEAABhCAABswgAAMEEAAGTCAAB8wgAAQMIAAADBAADAQQAAwEEAAMBBAAAgQgAAPEIAAKBAAABwQgAAqEEAAMBBAABAwgAA-MEAACDCAADGQgAAIEIAAKDBAADowQAAgMEAAJBBAAAIQgAA8MEAANLCAACAwAAAQEEAABxCAABAQgAAcEEAAIjBAACiwgAASMIAAIbCAACowQAAWMIAALjBAAAgwgAAGEIAACBCAACEwgAAzEIAABxCAACKwgAAAMAAAMBBAADAQAAAIMEAABzCAACIQQAAwEEAAEBAAAAwQQAAAMAAABxCAAAkQgAABEIAAADCAAA8wgAAnEIAAIA_AAAMwgAAQEAAANDBAABAQQAAYEIAAABBAACIwQAAMMEAAABBAACwQQAA5MIAACTCAAAAwgAAgEEAAIC_AAAMQgAAlkIAAIxCAACSQgAAHMIAAFBBAADIQQAAQEAAAIA_AAAAwQAAoEAAAIDBAAA0wgAAYMEAACDCAAAgwgAAXEIAAIBCAACSwgAAYEEAAHTCAAAEwgAAAEAAADhCAACIwQAAMEIAAMBAAACgwQAAIMEAAMBBAAAwQQAARMIAAExCAAAAAAAAMMEAAADCAACKQgAAQEEAAMBAAABQQQAAjsIAAIjBAACgQQAAmMEAAJDBAACSwgAAwEEAAEBAAAD4QQAADMIAAOjBAACUQgAAEMIAANhBAAAAAAAAGMIAAMDBAACIQQAAhkIAAJhCAAAUQgAAcEEAALBBAACoQQAAMMIAAODBAAAwwQAAFEIAAOjBAACQwQAAgD8AALZCAADgwAAAAMIAAABBAAAAAAAA6EEAADzCAAA8wgAAwEEAACDBAAAAwAAAAMIAAKrCAAAAQgAAUEEAAFDBAAAoQgAAoMEAAIA_AAAowgAAlsIgADgTQAlIdVABKo8CEAAagAIAAEy-AABAPAAAHD4AACQ-AABsPgAAZD4AAFQ-AADuvgAARL4AAIC7AAAEvgAATL4AANg9AACgPAAAJL4AAEC8AADmPgAAoLwAAFA9AABBPwAAfz8AAGy-AAB0vgAAyD0AAAQ-AACgPAAAnj4AABA9AADgPAAAsj4AAAQ-AABMvgAAJL4AABA9AAC4PQAAVL4AAPi9AAAJvwAARL4AABC9AACCvgAAmr4AANI-AACAOwAAyD0AAPg9AAAMPgAAcL0AANq-AADYvQAAlr4AAIg9AADIPQAAbD4AAPg9AACIPQAAXT8AAAy-AACmPgAAUD0AAOA8AACKPgAAyL0AABS-IAA4E0AJSHxQASqPAhABGoACAAAwvQAAUL0AADy-AAA7vwAAFL4AAJ4-AACiPgAAUL0AAOC8AACGvgAA-L0AAI6-AABwPQAAZL4AADQ-AACAuwAAqD0AANo-AABcvgAAjj4AADC9AAA8PgAAUL0AADA9AAAwPQAATL4AAAy-AACYPQAAcL0AAI6-AAAsPgAA-D0AAOi9AAAwvQAA-D0AAAy-AACePgAA2D0AALq-AACovQAA4DwAAIg9AADIvQAAFD4AAHC9AABsvgAAf78AAHw-AABUPgAAij4AAEQ-AADIvQAArr4AAJo-AAAUPgAATD4AADC9AABcPgAAgDsAALg9AAAsPgAAyD0AAIY-AACgvCAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=HfACrKJ_Y2w","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["3211280197069360163"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"videoContentId":"3097513580"},"2863188196425289924":{"videoId":"2863188196425289924","docid":"34-2-16-ZE61D1755EDC653D7","description":"Bu kanala Katılın.. Ders PDF’lerine ulaşma ve size özel diğer ayrıcalıklardan yararlanın… / @youtubeuniversitesi Mühendislik Bölümleri İçin Calculus-1 (Genel Matematik) § Eğri Altında Alan § Konu...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2862986/ad309d04545522b667128365789a394e/564x318_1"},"target":"_self","position":"6","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D0JN3ZkZwYtA","linkTemplate":"/video/preview/2863188196425289924?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus-1 & 22. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #calculus1 #calculus","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0JN3ZkZwYtA\",\"src\":\"serp\",\"rvb\":\"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_AQA-PfzDQcH_AH2CgYC-f39AP0FAwACBf4A-_0G7_0AAAACDQj4-QAAAAD78gz5_gAAFvj7-fQAAAAA8gAB-QAAAAEF8AsAAQAACP_2CQT_AAAVBP4FAAAAAA0I-QD__wAAAP_7DAAAAAD85wn-AAAAACAALR2W3zs4E0AJSE5QAipzEAAaYCP_AHlI-QXO6T7bCvMFH9T10QKxlAL_IfwA3h_W_fhostEOI_9WNPIClAAAABIMAhv8AP9_qQOhGxklJ-LmsCEpcRwwDOjsAdnjwDgDyNU5IDoIEgDH8PX3Iq-FNOA-9yAALUSFCTs4E0AJSG9QAiqvBhAMGqAGAAAYQgAA4EAAABhCAABAwgAAYMEAAGDBAACgQgAAUEIAAJDBAAAYwgAAoEEAAIC_AACGwgAAAMAAAPhBAACQwQAAwEAAADTCAABgQQAAUMEAAChCAABowgAAGMIAAARCAAAAQAAAAEAAADzCAAAEwgAAAMEAAJBBAAC4wQAAEMEAAJzCAADAQQAAcMIAAMDAAACowQAAskIAAGBBAACgQAAAwEEAAIBBAAAwQgAAiEEAAIZCAADGwgAAoMAAANjBAAAwQgAABEIAAODBAACowQAAcMEAAOhBAAAsQgAA2EEAALjBAACowQAAJEIAAKxCAAAQQgAALMIAAGjCAACgwQAAsEEAAKBAAACYQQAAAMAAAGjCAAAEwgAArEIAAJJCAAAcwgAAnEIAAIA_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-AAD-vgAATD4AAIY-AABEvgAAiL0AACQ-AACCPgAALL4AAEQ-AABcPgAAgLsAAFQ-AAAxPwAAfz8AABS-AAAwPQAAUD0AAGy-AAAMPgAA-D0AAAw-AABAPAAAgDsAAHC9AADivgAA2D0AAIg9AAAQPQAArr4AAHy-AACavgAAjr4AAFy-AABAPAAA4LwAAKo-AABUvgAA4LwAAHy-AACAuwAAyL0AAHC9AACWvgAAgLsAAKI-AAAEPgAAPD4AADS-AACgPAAARz8AAGS-AAA0PgAAHD4AABy-AACgPAAAQLwAAHC9IAA4E0AJSHxQASqPAhABGoACAACYPQAAED0AAIi9AABJvwAAjr4AAFQ-AACmPgAAiD0AALi9AAAcPgAAiD0AACS-AAAMvgAAdL4AAFQ-AAAQPQAAyD0AALY-AADIvQAAxj4AACy-AACSPgAAhr4AAKC8AADYvQAAiL0AAEC8AACgvAAANL4AAES-AAAQPQAA2D0AAHC9AACivgAAiL0AAOg9AACIPQAAmj4AAL6-AAAEvgAAVL4AAHw-AADYvQAAED0AAOA8AACovQAAf78AAEQ-AACqPgAAEL0AAIA7AADYvQAA2L0AADQ-AABMPgAADD4AADA9AABAPAAAUL0AAOA8AACYPQAAQLwAAJ4-AABEPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=0JN3ZkZwYtA","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2863188196425289924"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7531801773533061774":{"videoId":"7531801773533061774","docid":"34-4-6-Z04448AD8C88783CA","description":"Ayrıcalıklardan yararlanmak ve kanala destek olmak için kanala katılın: / tunç kurt matematik Selamlar, sizden gelen mesajlar üzerine Calculus 1 ödev çözümleri, mat 101-102-103-104 dersinin...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/214928/05a38abc2ee052831a258c61a67ce7ee/564x318_1"},"target":"_self","position":"7","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DE2AgNOlzqz0","linkTemplate":"/video/preview/7531801773533061774?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus-Genel Matematik Türev Vize-Final Soruları | Türev Kuralları, Teğet Denklemi, Grafik Çizimi","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=E2AgNOlzqz0\",\"src\":\"serp\",\"rvb\":\"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-P75BA4F_QHx7wsF_P7_APr0Bv4GBP4A9Oj-AvoAAAD0EAgA-gAAAP0K7gP2_QEAFwTzAPQAAAAI-Qf48wAAAAEG7gz_AQAA9wv-_AP_AAADAgkIAAAAAAcQAA_-AAAABAT8BwAAAAAC6PUDAQAAACAALfyZxzs4E0AJSE5QAipzEAAaYCQAAGMq4MmUFhHZAcUgE9DACu_wo_T_DPv_yyX48fJRydX4Rv8S8wP_mwAAAET-Ev_PAMN_wOLF_SMmC97H1CQYaRssE-0M_dcGjAzL_t8e0dblFgC07NzMIPWTGTdV4SAALSdZDzs4E0AJSG9QAiqvBhAMGqAGAADAQAAA2EEAAEBBAAAgQQAAYEEAACBCAACIQgAAiEEAAPDBAAAAQQAAFMIAAATCAACCwgAAYMEAAGxCAAB8wgAAgMAAAJDBAAAAwAAA6MEAADxCAADiwgAAUMEAABRCAAAcQgAAEMEAAIbCAABgwQAATEIAACRCAADgwQAAOMIAADTCAABwQQAAisIAAIA_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-MEAAGBCAAAAwAAAsEEAAOBAAAAgwQAA2EEAAIDAAAAAwQAAoMEAAIzCAAAAwQAAgD8AAGBBAADYQQAAMMEAAIhBAACgwQAAHEIAAGBCAADgQAAAAAAAAEBAAABkwgAAUEIAADjCAAAEwgAAgEIAAHDBAAAAQQAAiEEAAIBBAAAgwQAA6EEAAMBAAADYQQAAqMEAAKBBAAB0wgAAdMIgADgTQAlIdVABKo8CEAAagAIAAAS-AADgvAAA6D0AAFA9AABcPgAARD4AAFA9AAAjvwAAur4AAFA9AADgvAAAMD0AACQ-AACgvAAAtr4AADS-AACOPgAAEL0AAIg9AAAVPwAAfz8AABA9AAC4PQAAor4AADw-AACgPAAAdD4AAHQ-AACovQAAMD0AAII-AAAEvgAAFD4AAOI-AACovQAADL4AAAQ-AAB0vgAAkr4AAJa-AAAsPgAAlj4AAIo-AACCvgAAgLsAAIq-AAAcPgAAPL4AADA9AAAkvgAAuD0AAKi9AADgPAAAVD4AAMg9AACYvQAAAz8AALK-AAAcvgAAZD4AADS-AAC4PQAADD4AAES-IAA4E0AJSHxQASqPAhABGoACAABAvAAAkj4AAES-AAA5vwAAir4AAKA8AACiPgAAiL0AAOC8AACmPgAA6D0AAKi9AACYvQAA2L0AAHC9AAAwvQAAhr4AAAM_AABkvgAAdD4AAJg9AABUvgAAJL4AAMi9AAAQvQAAMD0AAJi9AAC4PQAAdL4AAFA9AAC4PQAAoDwAAGy-AABQPQAAyL0AACy-AAC4PQAAND4AAKq-AACCvgAABD4AAAQ-AAAMPgAAED0AALg9AADIvQAAf78AAJI-AACGPgAA-L0AAOg9AACIPQAAgDsAAOg9AACYPQAA6D0AADC9AADoPQAAQLwAABA9AAC4PQAA4LwAADA9AABQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=E2AgNOlzqz0","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7531801773533061774"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"204223579808164201":{"videoId":"204223579808164201","docid":"34-4-1-Z52FCFA128BA42CCD","description":"#calculus #calculusdersleri #üniversitedersvideoları #mühendislikfakültesi DERS Videolarin Tamamini Görmek İÇİN Kanalin Oynatma Listelerine Bakiniz. Kanalımızda mühendislik okuyan öğrenciler için...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1607570/196a9a00c2d950e0ee6c6faa5b04854d/564x318_1"},"target":"_self","position":"8","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DhPbM4hOCWp4","linkTemplate":"/video/preview/204223579808164201?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Süreklilik - Calculus 1 Dersi","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=hPbM4hOCWp4\",\"src\":\"serp\",\"rvb\":\"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_wA9_byDwgH_AL6_AT9-f39APEBBwoDAv8ABPX79wUBAAD_CgH2_wAAAP0J7gP2_QEAEvv--AMAAAD37fQH_AAAAAEG7gz_AQAAEA35AgP_AAATCgkB_wAAAPwI7gkAAAAA___7DQAAAAAA7_oOAAAAACAALVxFyjs4E0AJSE5QAipzEAAaYBkZAEkZ9hfQzybgGOEiU8zx6ROv2iT_PSIA_zKHI-gzxN8CLP8h1vsQoAAAAPES8BnjANt-wNzF6xUaD-nczSUmePcJ1N_-3MTLoPqW0A_0Pz79AgCB-_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-MEAAADBAACgwgAA2MEAAEBBAADAQAAABEIAACxCAAAsQgAA4MAAAFDBAACAQQAAGMIAAJDBAAAAwgAAkEEAAGBBAACIwgAAdEIAAFxCAAAAwAAAQEAAAERCAABYQgAApkIAAI7CAABIwgAAQEEAAIjBAADgQAAAIMIAAHTCAAAgQgAAEEEAAIBAAADAwAAAhsIAAHjCAADwwQAACMIgADgTQAlIdVABKo8CEAAagAIAAJq-AABkPgAAcL0AANg9AAAsPgAARD4AADQ-AAD-vgAAuD0AAEA8AADoPQAAyL0AAKg9AABwvQAAhr4AAPg9AAAQPQAABL4AAMo-AABLPwAAfz8AAES-AACYPQAAiD0AAHA9AAAsPgAAUL0AALg9AACoPQAAoj4AABQ-AACOvgAAQLwAAJ4-AADgPAAAXL4AAK6-AAABvwAA1r4AABS-AAAcvgAAgDsAADM_AACivgAAcD0AAFA9AADYPQAAZL4AAIa-AAAUvgAAmr4AAKA8AABQPQAAiD0AADC9AABAvAAAFz8AAHS-AAC4PQAA1j4AAIC7AADOPgAA6L0AADA9IAA4E0AJSHxQASqPAhABGoACAABUPgAA4DwAAJ6-AABHvwAATL4AAKY-AACGPgAAED0AAPi9AADgPAAAED0AADS-AAAwPQAALL4AACQ-AACovQAAmL0AAO4-AACyvgAAij4AAJi9AADIvQAAcD0AAEA8AACAOwAALL4AAPi9AABAPAAAED0AAFy-AADIPQAAQDwAAHS-AACIvQAABL4AAKi9AABwPQAABD4AAIa-AABkvgAAUL0AANg9AABQPQAAmD0AABA9AACgPAAAf78AAIY-AACKPgAALD4AAFC9AADgPAAAqL0AAJI-AAAsvgAABD4AAIC7AABsPgAAuD0AADA9AAAkPgAABD4AAHw-AADIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=hPbM4hOCWp4","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["204223579808164201"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10563874353047041307":{"videoId":"10563874353047041307","docid":"34-1-17-Z02AFE5747824BFE4","description":"#calculus #calculusdersleri #üniversitedersvideoları #mühendislikfakültesi Calculus (Kalkülüs), matematiksel bir analiz dalıdır ve değişim oranları ile alan ve hacim hesapları gibi konuları...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4566853/c903c577db0ec3a1343b87a783a51a76/564x318_1"},"target":"_self","position":"9","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DP59QlxnQ2nM","linkTemplate":"/video/preview/10563874353047041307?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus 1 dersi - ön bilgiler","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=P59QlxnQ2nM\",\"src\":\"serp\",\"rvb\":\"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_E6kaggQkAYAEKyqLARABGniB9voC_gEAAPj28g4HB_wCA_gNAfn-_gDr_Q34-f8BAPH69fr_AAAA_AYE__cAAADxBewK_gAAABr0__UDAAAA--v6-f8BAAAMDu8C_wEAAP8E6wQC_wAAEAQHEAAAAAD8B-8IAAAAAP_8AwoAAAAA-uYBCQAAAAAgAC2tPtE7OBNACUhOUAIqcxAAGmAsEgA7ERf9wtch7RvaKSrdFP4nx7kv_xATANQMqBL7UauwIij_MejyEZ0AAAD0Le0f9gD2f77gmPH38Qrt8sY3C34NB9rW9uvK07c4AAfyBzYcCjkAmvPM3CyztEjnTQcgAC09vQ87OBNACUhvUAIqrwYQDBqgBgAA8EEAAIhBAABwQQAAQEEAACBCAAAcwgAAmEEAANjBAAAAQAAAIEIAAHBBAAAowgAA4MEAABjCAAA0QgAAPMIAAIC_AADwwQAAcEEAAGDBAAAQwQAAcMEAAMBAAADIQQAABEIAAKDBAAA8wgAALMIAAAhCAAD4QQAAgEEAABBCAAAMwgAAYEEAAHTCAABgQQAAwEEAAP5CAABUwgAA8EEAACRCAACQwQAA6EEAAIBBAACgQQAAcMIAAFDCAACIwQAAOEIAAOBBAABkwgAAJEIAADDBAAAEwgAA-EEAAIBBAAD6wgAAMEEAAIDAAABwQQAA4EEAAAjCAAAAwgAAMMIAACBBAAAcwgAAQMAAABzCAAAIwgAAEMEAAIxCAADOQgAAqMEAAEBBAAC4QQAA6sIAAMDBAACwwQAAcEEAACBCAABowgAAFEIAAAAAAABsQgAA6MEAANDBAABEQgAArkIAAHRCAACewgAAQMEAAARCAAAAAAAAnsIAACjCAAD4wQAAQMAAAHDBAADQQQAA8MEAAIC_AABIQgAAMEIAAETCAACQQQAAAMEAAMDBAABIQgAAgMAAAFRCAABYQgAAYMIAACDBAADAQAAAbEIAAGBBAACwwQAAisIAANDBAACAwQAAoMAAAIDCAAA8wgAAmMIAAIBBAADoQQAAoMEAANDBAADAwQAAlsIAAOBBAADgQAAAIMEAANhBAACgwAAAFEIAAJxCAACwwQAALMIAANrCAADIwQAAIMEAACBBAABAQAAA0EEAABDBAADGwgAAAEEAAGhCAACIwQAAYMEAAJDBAACAQAAAQMAAAIC_AADIQQAAoMAAAIbCAACQwQAAFEIAACDCAAAAQQAAJMIAACjCAAAQQQAAwEEAAMBBAACYQQAALEIAAIA_AAD4wQAATEIAAOjBAADAQQAATMIAAOhBAABQwQAAdMIAAIBCAAD4QQAA2EEAAEDAAAAsQgAAyEEAAJpCAAAwwgAAJMIAAKjBAAD4wQAAAEEAAEjCAABIwgAANEIAAEBBAAAAQgAA4EAAAJzCAABwwgAAMMIAAPDBIAA4E0AJSHVQASqPAhAAGoACAACmvgAAmL0AABS-AABwPQAAhj4AADQ-AACiPgAAsr4AAIi9AAA0PgAARL4AACy-AAD4PQAAmD0AACy-AADgvAAABD4AAIi9AADmPgAALT8AAH8_AACSvgAADD4AAAw-AABQPQAA6D0AADQ-AACSPgAAMD0AAJI-AABwPQAAlr4AAKA8AAAEPgAALL4AACS-AABwvQAAA78AAL6-AABAPAAAoDwAALi9AAAJPwAAjr4AAIo-AADIvQAAgLsAABy-AADOvgAAkr4AAKK-AADgPAAAPD4AAJg9AABAPAAAmD0AABU_AACqvgAADD4AAAU_AAAcvgAA0j4AABy-AACIvSAAOBNACUh8UAEqjwIQARqAAgAA4LwAAOg9AABcvgAAU78AADy-AACSPgAAxj4AAKA8AADgvAAAmD0AAJg9AADovQAAQDwAALi9AAAcPgAAgLsAAOg9AAC2PgAARL4AAMY-AADYvQAAXD4AADC9AADgPAAA-L0AAKi9AAAwvQAAgDsAAHC9AABMvgAAmD0AAOA8AACYvQAATL4AAAS-AAAwvQAAoLwAAFC9AABsvgAAmL0AAIa-AAAMPgAAoLwAAAQ-AACgvAAAED0AAH-_AACOPgAAbD4AAFw-AABwPQAAiD0AAAy-AADCPgAAoLwAACw-AABAPAAAED0AADQ-AACovQAAcD0AADC9AACaPgAAcD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=P59QlxnQ2nM","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10563874353047041307"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16451549670387440466":{"videoId":"16451549670387440466","docid":"34-5-0-Z7478FADABD063A0F","description":"Mühendislik Bölümleri İçin Calculus-1 (Genel Matematik) § Türevin Uygulamaları-5: Grafik Çizimi § Konu Anlatımı ve Soru Çözümleri #calculus #calculussolution #calculusconcepts...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3793178/5bfe62959471f7ae4b0de5b0264da625/564x318_1"},"target":"_self","position":"10","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvFQpM1MrnUo","linkTemplate":"/video/preview/16451549670387440466?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus-1 & 11. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #calculus #calculus1","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vFQpM1MrnUo\",\"src\":\"serp\",\"rvb\":\"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_MNBwf8AfIACAH7_v4A-f8FAPoE_gAB-QD4-gEAAP8JAfcAAAAAAPvyDPn-AAAQ7fv9AQAAAADyAAH5AAAAAQXwCwABAAAECPYEA_8AABUE_gUAAAAACwQBBfz_AAAA__sMAAAAAPznCf4AAAAAIAAtHZbfOzgTQAlITlACKnMQABpgIwAAdiboFNLrEOH30BYxyNHY_bO1Af8Z6wDbK9YA41m23BAr_0ID-gWaAAAAGOjr5BEAGn-fC5YPIAgYvPe9ET1gDBfu7wgA0wSwUPbW-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-AADIPQAAND4AAIa-AACgvAAAHD4AAMg9AAC4vQAAhj4AACQ-AABQvQAADD4AACU_AAB_PwAAyL0AAKA8AACoPQAARL4AAEw-AACoPQAA6D0AAMg9AADYPQAAML0AAMa-AADIPQAAQDwAAIg9AAB8vgAAgr4AAIa-AABcvgAAJL4AAIC7AABwvQAAxj4AACy-AACAuwAANL4AAJg9AAD4vQAAmL0AAI6-AADgvAAAbD4AAMg9AAAcPgAAXL4AAKA8AAArPwAALL4AABw-AAAMPgAADL4AAEA8AACAOwAAML0gADgTQAlIfFABKo8CEAEagAIAABA9AAAwPQAAyL0AAE-_AACGvgAAND4AAJ4-AACAuwAAcL0AAPg9AABAPAAABL4AADy-AABEvgAADD4AAIA7AABQvQAAwj4AADS-AAC2PgAAPL4AACw-AACKvgAAQLwAAMi9AAAEvgAAyL0AAKC8AADovQAAPL4AAFA9AAAMPgAAyL0AAIK-AACgvAAAcD0AAGQ-AACSPgAAwr4AACy-AAAsvgAAbD4AACy-AABwPQAAED0AABy-AAB_vwAAbD4AAM4-AACAOwAAcD0AAOi9AABQvQAARD4AACw-AAAEPgAAED0AAIA7AAAwvQAAUD0AAAw-AACYPQAAlj4AAPg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=vFQpM1MrnUo","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16451549670387440466"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9376351462368876853":{"videoId":"9376351462368876853","docid":"34-6-1-ZFE3E5DBEA37AF536","description":"Bu kanala Katılın.. Ders PDF’lerine ulaşma ve size özel diğer ayrıcalıklardan yararlanın… / @youtubeuniversitesi Mühendislik Bölümleri İçin Calculus-1 (Genel Matematik) § İntegral Alma...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4061228/0cb1cf846bc17c79e6123c846bf19555/564x318_1"},"target":"_self","position":"11","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D0moT-VddtJo","linkTemplate":"/video/preview/9376351462368876853?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus-1 & 21. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #calculus1 #calculus","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0moT-VddtJo\",\"src\":\"serp\",\"rvb\":\"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_AQA-PfzDQcH_AH2CgYC-f39AP0FAwACBf4A-_0G7_0AAAD_CQH3AAAAAAD78gz5_gAAEO37_QEAAAAA8gAB-QAAAAEF8AsAAQAABAj2BAP_AAAVBP4FAAAAAAkN_gQBAAAAAP_7DAAAAAD28AsHAAAAACAALR2W3zs4E0AJSE5QAipzEAAaYDgJAHVK8QW-8TLME90ZHMz3x_aeowL_Ke0A9iLf8PRmxt4bIf9EKv8TmQAAAAwJ-BrqAOh_tg2lCxsiHtz6ug5PdhgtB-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-EEAAAxCAACwQQAAwEAAAFjCAADIQgAArMIAAOBBAAAcwgAA4EAAABTCAABswgAATEIAABRCAADwwQAA-MEAACjCAACgQQAA1EIAAMDBAACKwgAAgEAAAGDBAAAQQQAANMIAAHDBAAAAwAAAAEIAAJRCAACSQgAALMIAAIDBAAAwwgAANMIgADgTQAlIdVABKo8CEAAagAIAABC9AAAUPgAAuD0AAEA8AAC4PQAARD4AAJo-AACOvgAABD4AADQ-AACWvgAADD4AAAw-AAAUPgAAiD0AAFA9AAC4PQAAUL0AAMg9AAA1PwAAfz8AAAy-AAA0PgAAcD0AAFy-AAAUPgAA6D0AAIY-AAAwPQAABD4AAOC8AAC2vgAAND4AAPg9AACYPQAApr4AAHy-AACivgAAwr4AAKi9AADgPAAA4LwAAOI-AACqvgAA4LwAAAy-AACoPQAANL4AAKi9AABsvgAAPL4AAKY-AACoPQAA2D0AABS-AADgPAAAKz8AAL6-AACKPgAAtj4AAEy-AADgPAAAED0AAIA7IAA4E0AJSHxQASqPAhABGoACAAC4PQAA2D0AAKC8AABJvwAAir4AAEQ-AADGPgAAMD0AAHC9AABUPgAAQDwAAPi9AAAEvgAATL4AAOg9AAAQPQAAqL0AALo-AAAsvgAAnj4AAMi9AAAkPgAAor4AAKA8AAAMvgAA2L0AAIi9AACAuwAAZL4AAES-AADgPAAABD4AAMi9AABkvgAA6L0AADA9AABUPgAAPD4AANa-AABcvgAAfL4AAJo-AACIvQAA4DwAALg9AAAUvgAAf78AAJo-AADePgAAyL0AAEC8AABAvAAAML0AAEw-AAAUPgAAJD4AABA9AAAQvQAAgLsAAKg9AACoPQAAUL0AAFw-AAAkPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=0moT-VddtJo","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9376351462368876853"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7312381737745829243":{"videoId":"7312381737745829243","docid":"34-11-5-Z807A1FE22BC6E7A7","description":"Bu kanala Katılın.. Ders PDF’lerine ulaşma ve size özel diğer ayrıcalıklardan yararlanın… / @youtubeuniversitesi Mühendislik Bölümleri İçin Calculus-1 (Genel Matematik) § İntegral Alma...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1771138/e2cefa76b0ccf38b572339ad0a43a150/564x318_1"},"target":"_self","position":"13","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DOtwqAupXRfU","linkTemplate":"/video/preview/7312381737745829243?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus-1 & 19. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #calculus1 #calculus","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=OtwqAupXRfU\",\"src\":\"serp\",\"rvb\":\"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_AQA-PfzDQcH_AH2CgYC-f39AP0FAwACBf4A-_0G7_0AAAD_CQH3AAAAAAD78gz5_gAAFvj7-fQAAAAA8gAB-QAAAAEF8AsAAQAACP_2CQT_AAAVBP4FAAAAAAkN_gQBAAAAAP_7DAAAAAD28AsHAAAAACAALR2W3zs4E0AJSE5QAipzEAAaYDIJAHhN9AHH7TXLEt8TGs_3xfSfogX_K-kA9h7f6_lnv9kaHf9HKQEWmAAAAAYD8hXwAOB_rgimDh4dEtwBuBJRdRgvB-HwAuHvukEKxc8xIDkDCgCvChv7DsebLd1BByAALQkVCzs4E0AJSG9QAiqvBhAMGqAGAAA0QgAA6EEAADBCAADgQAAAkMEAAAjCAAA8QgAAAEEAAEBBAACYwQAAAAAAAFBBAABQwgAAAMEAAABCAAAcwgAAkEEAACzCAACwQQAAgEAAAOhBAABUwgAAMMEAAKBBAACAwAAAcEEAABDCAABAwQAAMEEAALBBAABAwAAAAEAAADjCAAAAQgAAMMEAAAAAAABQQQAAwEIAAABAAACowQAAiEEAALDBAABwQQAAmMEAAMhBAABwwgAA-MEAANjBAACgQQAASEIAALjBAADgwQAAoMEAAEBBAADQQQAAnEIAAEDAAABAwQAAbEIAAI5CAACoQQAAhsIAAIbCAACgQAAAOEIAADxCAACCQgAAEMEAAI7CAAAYwgAAoEIAAMBCAADwwQAAEEIAAPBBAADiwgAAZMIAAJDBAACAQAAAIMEAAPDBAABEQgAAAEAAALZCAAAkwgAAIEEAAABCAABQwQAAAAAAADDCAABQwQAACEIAAJbCAABYwgAACMIAADDCAAA8wgAAmEEAAMBBAACIwQAAAEAAAOhBAABgQQAA0MEAAJLCAAAwQQAAcMEAALhBAAAgQQAA-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-AADevgAAyD0AAFA9AACqvgAAgLsAAEw-AABsPgAAgDsAAAw-AAAUPgAAgDsAAOg9AAAxPwAAfz8AADy-AAAwPQAA4LwAAGS-AADIPQAAiD0AABQ-AAC4PQAAcD0AAIC7AADmvgAAZD4AAIg9AAAEPgAAfL4AAIq-AACSvgAAmr4AANi9AACoPQAA2D0AAMo-AACevgAA2D0AABy-AAC4PQAALL4AAIi9AAC2vgAAUL0AAJ4-AADoPQAAMD0AAPi9AABAPAAAJz8AAFS-AAA8PgAAoj4AAAS-AADgvAAAoLwAAFA9IAA4E0AJSHxQASqPAhABGoACAAAQPQAAqD0AADC9AAA_vwAAgr4AAHw-AACqPgAA2D0AABC9AABcPgAAoLwAALi9AABEvgAANL4AAHA9AABQPQAA4DwAANY-AABEvgAArj4AAES-AABcPgAAkr4AABA9AAAcvgAAcL0AABC9AACgPAAARL4AAAy-AABwPQAABD4AANi9AACGvgAAcL0AAJg9AABMPgAAgj4AAMa-AAAkvgAALL4AAGQ-AAAEvgAAoDwAALg9AAAcvgAAf78AAI4-AADGPgAAQLwAALg9AADgvAAAiL0AADQ-AACWPgAABD4AADA9AACAuwAAUL0AALg9AADoPQAAgDsAAII-AAAUPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=OtwqAupXRfU","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7312381737745829243"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3325929258122900113":{"videoId":"3325929258122900113","docid":"34-10-13-ZB611F9E8228712FB","description":"Think calculus is only for geniuses? 💥 Think again! In this video, I’ll break down calculus at a basic level so anyone can understand it — even if you’ve never seen it before! matter your...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3132665/f3b70860d668e4268869620f59d8c89c/564x318_1"},"target":"_self","position":"14","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DAVWrB1vt5nM","linkTemplate":"/video/preview/3325929258122900113?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus Made EASY! Finally Understand It in Minutes!","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=AVWrB1vt5nM\",\"src\":\"serp\",\"rvb\":\"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_fr1BvoAA_kPDwYM-QP3AAUK-f39APMGAv8IAv8AFw3_-vv_AAD0C_v5BQAAAPAG6wr-AAAAJAz7AAQAAAAT5_sH_wAAAA0P7gL_AQAA__QECQT_AAARBAgRAAAAAO8LBxEAAAAA9fz8CQAAAAAF4gH_AQAAACAALXoXxDs4E0AJSE5QAipzEAAaYBANAEP5CcfC-jTcIdr2GwEKQfLz3iX_-BL_6CXP598KntPqJv8AwQ_fpAAAACUh-RkQAON8Fs_IDicECaKU5QhGbPAg3Ogd0_LwgRwIGREUBxseFgCnJeDvENQeIDkDJiAALY4cHDs4E0AJSG9QAiqvBhAMGqAGAADAQQAAwEAAAMBAAACSwgAANEIAAKDAAACWQgAA6MEAAAAAAACAQAAAAEEAAEzCAADYwQAAiMEAAIZCAAA8wgAAIMEAAGBBAAC4QQAAPMIAAGzCAAAYwgAAcMEAAAxCAACQwQAAcMEAAEjCAAD4wQAAwEEAABxCAABkwgAAmEEAAOjBAABgQQAAJMIAAIA_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-AAC4PQAA-D0AAKY-AAAwPQAA6D0AAK4-AACevgAAlr4AADC9AACgvAAAoDwAANg9AAC2PgAAXL4AAEC8AACmPgAA4LwAAPg9AABHPwAAfz8AAFS-AACAuwAAVD4AAHC9AAAUPgAAUL0AAPg9AAAsPgAAXD4AALg9AAA8vgAAkr4AAJg9AABAvAAAbL4AADS-AAA0vgAAkr4AABC9AACavgAAUL0AACQ-AAA8vgAADL4AABA9AAAMPgAAur4AAAS-AADYvQAAZL4AAOA8AAB0PgAAgLsAAEy-AABQvQAALz8AAFQ-AACYPQAAZD4AAJq-AACWPgAAiL0AALg9IAA4E0AJSHxQASqPAhABGoACAAAcvgAABD4AADS-AAAjvwAANL4AABQ-AADKPgAAoLwAAIg9AADYvQAAQLwAAAy-AABQvQAAFL4AAFw-AABAvAAAuL0AAPI-AAAcvgAAzj4AABQ-AACIPQAAoLwAAJi9AACYvQAAgr4AANi9AAD4PQAAoLwAAHS-AAD4PQAA-D0AACS-AAB8vgAALD4AANi9AAB8PgAAdD4AAKa-AACAOwAAcD0AAIg9AAAQPQAAcD0AAFw-AACovQAAf78AALg9AACmPgAAXD4AAPg9AADIPQAATL4AAIo-AACiPgAALD4AAKi9AABAPAAAgDsAAAQ-AAAMPgAAbD4AAMo-AABwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=AVWrB1vt5nM","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3325929258122900113"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"5282881680882241403":{"videoId":"5282881680882241403","docid":"34-5-17-ZF698AC36EEF96B8E","description":"What is Calculus? In this video, we give you a quick overview of calculus and introduce the limit, derivative and integral. We begin with the question “Who invented Calculus?” Next, we talk...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4775596/e3cb73a8019859a80a3e7810c3531306/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ngjFngAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dw3GV9pumczQ","linkTemplate":"/video/preview/5282881680882241403?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What is Calculus? (Mathematics)","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=w3GV9pumczQ\",\"src\":\"serp\",\"rvb\":\"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_z5_wEAA_oODgYL-gIEAAAC-P_-APb6-_3-A_8A_fwA8QkBAAD9E_rzBAAAAPj5-w___wAADP_t_AIAAAAS_gD4_wAAABcG9fn-AQAA_gQBEAT_AAASCggB_wAAAP0G9_oCAAAA9gb-CgAAAAD_B_7__wAAACAALSsy1zs4E0AJSE5QAiqEAhAAGvABf-oX_ubi3wLc3uEApR0BAJk1Kv8UGcsAj_PvAJsWwf7j3xEA5BgCAFLy_gGuMiEBIQG6ABfYHf9Z3QwAJQTmAasIEgFF0vwBLR4g_w3t-_77Ger_9tnp_hzQywMkNN_-I_IE_RAU9v4R_80DHOEzA-wRCgU0FfUB18IOAfAGLAPf9NL87BkkCAzbEfflCSsB7cz3ARIiHPjuDOcFAQ8M-hQACvYUGvAACvjsAM_s9Ai-4v4GCQH--R_fDAe799v_1NsL9ePk_gIV2CQEFh0JA7Q0Agge5en6IALw8eDu8wbs8fn8y8z28eEo_Ajz4u_kIAAtv04AOzgTQAlIYVACKs8HEAAawAfpYtO-ivAFPZB4wzy-Wfk8EtjcvDwe6bztftW9O-qDvOeUW7zM0k496OgnPJPlf7z4wYG-f-j4vERpTz0tCVA-1PhgPOZkGD0X8V2-xxrkPEQ_iTz1oYO-PHfxOy7Flzuw5ws-UbcauwWxAr2IZXM9pWqbvXACmTpviwi9Q0cHuiPYGL1WP8C8F_hFvTt5ibvlgHg9RyFEvRsLDrtRRrE9ye5YPV5CBDoMHoY936opO-TtEDy_tYO9eYqBPFppDLsJeZM9DdbJPPyOYTx24xs8tXp2ulbojTyk2Da9oHbPOwOKAr027DI9AA0FPcTSO70uamE9ZudjPemtjTsyfaq994mIPXF8Zbu5Zrc9cxOwPb8bgTzZQpC9Nr26PEjsajs4LJK9KWulvMDuT7zXitY9cG32O1SLqbr5psQ9zohSPXfkvrxoOgE8GeQuvHGBOjw0zvC8_wPsPSCq_Lvd83Q77w7fPDXx0TmoFLC9JmMmvUl7C7wT6_k86gt8vAStn7tReFo9_Y1RPJx-mrzFNUM9-FENvglvLLt5-708KTf2vAmHnry1kSY9f6swPbsdzLuLy5w9pBd6vV94SryMTMA8IDJbvblIDDzzJ2C8P8bcvSnKxrtVdJq9m1R0Pdo-HjyLqcQ9JclYvWSBBLz1n7U7KTOvPLWwwLqyEvO9ljF0vfpZqzlUhYs9D5voPV6kUTrrNzM9MWdRPcZx-ToYsgo-ZZ7DuxjRgjjONQo7v42OvbZB1LoHVRQ9GU-pPEKiSbnRSMo9C-qAvI7t4Lg6kLW8BSrOu_rlYzfs0xu92TtIPNbC7DbsP8G9BGMzvGFmJ7nDvAe-qT9svdp7ZTeeEcC8IaiBOzpJKbpyE7m7Eo4PPSa3Srp_fmS9o7ExvWDd4zon94u95nkLPZ8LuLamX-I9ONlGvWp5XjeRQok9ouM0vIaWkrjctL48XEKZvJc8y7h1Ae881vW1PT0Q8bhv80a8U8GyvBurkbgUBA89EF0APo3Dcbhaxvy8qVBYPSraBLUF83y9u3F_OxBbzLcGnCW8jGrRvfpT9zfhrZy7_4_6uvB-RjgZrUO9J-CyPCbOhzgESP68t9OWvRhjLranJOs96XUYuuJaRbjYY6K8QdsDuxllNDitp_Y9s-qYvHs7Orm2UXg8cxLqvS7r9riJn_u7ZoFbvUxl8LdpbkW9fyNQvR1WUrheqki9OukdvrRj-rj5ZOU9yNmaPbVA1jbnIEO9C3RyPQV1lbjOhmG90Oz6PcASljhp7AG9DE3jPD9pkzggADgTQAlIbVABKnMQABpgHf8APSAGydf4L-vx0dn-ygMNxu_c-v_5MP8EGNX--Eqi6-40_xrHJsqkAAAAFsv6BQYAuH-m7doDI-4X0aXXJxpw7Q470_IOA8zyJPbQ2yowuxY8AMEFpkUJCLg_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_AAAQQQAAAMIAALjBAADYQQAAREIAAIDAAACAvwAA6MEAAIA_AACowQAAkEEAACRCAABgQQAACEIAAMBBAAA0QgAAgEIAABTCAABEwgAAYMEAADDCAAAgQQAADMIAAKrCAACeQgAAiEEAAIDAAABowgAAGMIAAERCAACAQQAAiMEAALhBAACQwQAAaEIAAIDCAABcwiAAOBNACUh1UAEqjwIQABqAAgAA4r4AALi9AABQvQAAgDsAAIC7AADSPgAA6D0AAC2_AACOvgAAmL0AAMi9AAAUvgAAUD0AAHQ-AABMvgAAiL0AAAc_AACAOwAAcD0AACk_AAB_PwAAtr4AADw-AABQPQAAoLwAAIA7AABQPQAAgDsAAOg9AAB0PgAAjj4AAJ6-AAA0vgAA-L0AADC9AAD4vQAAgLsAAGy-AABcvgAARL4AALi9AAAkvgAAwj4AAHA9AAA8vgAA-L0AAOg9AADWvgAAhr4AABC9AACSvgAAUL0AAEw-AABQPQAA2D0AAJg9AABRPwAARD4AAIo-AABcPgAAbL4AAJY-AAAQPQAAQLwgADgTQAlIfFABKo8CEAEagAIAAHC9AAAMPgAAVL4AACO_AACOvgAAqD0AAMo-AABQvQAAPD4AAIi9AADgPAAAgr4AACQ-AADovQAAJD4AABC9AADIPQAAwj4AADS-AADCPgAAJD4AACw-AACAOwAA2L0AAEC8AACAuwAA-L0AAIg9AACYvQAADL4AAIg9AAAUPgAALL4AABy-AACAOwAAqL0AAII-AAAsPgAAjr4AAPi9AABwPQAA-D0AAIg9AAC4PQAA2D0AADA9AAB_vwAAVD4AAEA8AACIPQAAuD0AAAQ-AAAsvgAAoj4AABQ-AABMPgAAEL0AAIi9AACYPQAAED0AALg9AAC4vQAAZD4AABA9IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=w3GV9pumczQ","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["5282881680882241403"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2149607515"},"14137339781875401432":{"videoId":"14137339781875401432","docid":"34-8-0-ZCBFC08834D681E92","description":"🔥Data Scientist Masters Program (Discount Code - Ytbe15) - https://www.simplilearn.com/data-scie... 🔥Purdue - Professional Certificate in Data Science and Generative AI...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4219909/16f89c6d2e8e77f1de83cf2c9fab52a0/564x318_1"},"target":"_self","position":"16","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DeEyrIXCALmg","linkTemplate":"/video/preview/14137339781875401432?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction To Calculus | Calculus For Data Science | Calculus Basics | SImplilearn","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=eEyrIXCALmg\",\"src\":\"serp\",\"rvb\":\"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_5_Pv8BQAD9vsIBgj8AgQAAAL4__4A9QUC_wcB_wAE__rs_AAAAP8JAfcAAAAA8gD6CQEAAAAT-vT1AwAAAA4D_v_9AAAABgP2Af8BAAD6APINA_8AAAwBCgUAAAAA_Qb5_Pr-AAH1BfYEAAAAAAL8BQAAAAAAIAAtWwbhOzgTQAlITlACKnMQABpgHxEANB_r0LcNQdMd4NoFzhz1AMbMC_8CHgDsF70G2T_Luv8i_xIb_wqsAAAA_vrSJ-UA823N1ajeDwYM9OC5Iyp___vm-PXuzbXgQv0L8AYL3wQvAJz_Axv2t8ItzhEOIAAtVxgiOzgTQAlIb1ACKq8GEAwaoAYAABRCAABAQQAAOEIAAODBAADQQQAA0MEAAPhBAAAAwQAAkMEAAADAAAAAQQAAPMIAAEDCAADgQAAAQEAAAAzCAAAwQQAAPMIAAETCAABQQQAAJMIAALzCAACwQQAAgEIAAMBAAACgQAAA0MEAAGTCAACQQQAAuEEAAITCAAAcQgAA4MAAABzCAAAowgAAwMEAAHDBAACoQgAA2EEAADBBAABAQgAABEIAAERCAADgQQAAgEEAADTCAAAgwgAAAMEAAIpCAAA4QgAADMIAALjBAAAwwQAABMIAACBCAACgQAAApsIAAIBBAABgwgAAmEIAAKxCAAAAQQAAAMAAABjCAADoQQAAJMIAAMDAAACMwgAAwMEAAODBAADGQgAAnkIAALDBAABMQgAAMEEAAMrCAACwwQAAgMAAALhBAACQwQAAvsIAAOBAAABMQgAAHEIAAIA_AACAQQAAGEIAANhBAADoQQAALMIAAFTCAACIQQAAoMEAAIDCAACAwQAAfMIAAAzCAADWQgAAhEIAAKBAAAAAwgAAEEIAAIDAAADEwgAAQMEAABxCAAAYQgAAwEEAAAxCAACUQgAAUEIAAKDBAADgQQAAUMEAAHDBAABgQQAAoEAAAPDBAADAQAAAeMIAAIjBAABIwgAAZMIAADzCAABwQgAAIEEAAAjCAABgwQAAQMIAANjBAABwwQAAwMAAAIDBAADgwAAAiEEAAOBBAADoQQAA0EEAAMDAAABwwgAAAEIAAJBBAABQwQAA4MEAAIpCAAAAQgAAKMIAADBBAADgQAAAgMAAAMjBAAAwwgAAgEAAAJjBAACYwQAAQMEAACDBAAAowgAAkMEAAExCAAB8wgAAhEIAAIjBAAA0wgAAEMIAAAAAAACeQgAA2EEAADhCAAAcwgAAFMIAANBBAACwwQAAAEAAAIC_AAAIQgAAgEAAALDBAADAQQAAYEIAAIjBAABEwgAAiMEAAFDBAABoQgAAEMIAAKDBAADQQQAAFMIAANDBAADGwgAApMIAAKBBAAAoQgAAQMAAABDBAAAkwgAAYEEAAAzCAACOwiAAOBNACUh1UAEqjwIQABqAAgAAhr4AAFC9AACIvQAAyL0AABS-AADoPQAAkj4AABO_AAAwvQAAfL4AAKK-AAC4vQAAoLwAAGw-AAAUvgAAgLsAAIo-AAAEvgAAgDsAAFM_AAB_PwAAwr4AAIA7AACIPQAAyL0AAOo-AACIvQAAED0AAAQ-AAAUPgAAdD4AAPa-AACgvAAAZL4AAJg9AABQvQAANL4AAKK-AAB0vgAAoLwAAFC9AAAwvQAA3j4AAAy-AAAsPgAADD4AAOo-AADavgAAfL4AAES-AADSvgAABL4AAJI-AABQvQAAEL0AAPg9AABBPwAAgDsAANg9AACSPgAADL4AAJI-AACgvAAAqD0gADgTQAlIfFABKo8CEAEagAIAAOA8AABwvQAAoLwAADe_AAAcvgAAZD4AAIY-AABAvAAA2L0AAEA8AAC4vQAAPL4AAEC8AAAUvgAAFD4AAEC8AAAUPgAAyj4AADC9AADKPgAAMD0AAGw-AAAMvgAAoDwAAKC8AABEvgAAML0AAEA8AABkvgAAgDsAAPg9AADoPQAAUL0AAOC8AAAQPQAAiL0AACQ-AADYPQAAvr4AAOA8AADYvQAAVD4AABA9AAD4PQAAgDsAAPi9AAB_vwAAmj4AADw-AAAQPQAA4DwAAKA8AAAEvgAAlj4AAHA9AAA8PgAAoDwAAOA8AACAOwAAMD0AADA9AACYPQAAVD4AAIg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=eEyrIXCALmg","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14137339781875401432"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4803136378967730236":{"videoId":"4803136378967730236","docid":"34-3-14-ZB73E5A22EA7316E1","description":"This calculus 1 video tutorial provides an introduction to limits. It explains how to evaluate limits by direct substitution, by factoring, and graphically. Calculus Video Lessons...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2111387/c7883a9aec8d70e5ed22144aab86678f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/XBaTOgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DYNstP0ESndU","linkTemplate":"/video/preview/4803136378967730236?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus 1 - Introduction to Limits","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=YNstP0ESndU\",\"src\":\"serp\",\"rvb\":\"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-Pz7Av4A9fgGCQ8G_AEWAvH69AICANz3Avv5-QMA_QMA-fYBAAD9FPrzBAAAAPUI9xL-_wAACP8C9AQAAAAP8_gEAwAAAA0O7gL_AQAA9f_zAgP_AAASBfb9_wAAAPkB-gv_AAAA8fX9EQAAAAD_7gcBAAAAACAALY5Oyzs4E0AJSE5QAiqEAhAAGvABfwb7_vb8zAO9Fd4A9_cUAdIcKQALJOL_xA3l_8wb6gH1Lu4B7yXx__vn-v-HMP8BFtOqA_v25wFD2PwAQdPmAM7dEwAd5vQBSlAp_Bn19gHr4x7_Euf___LVqQA5Eef-78sY_UDu9f_rBLoCEjIfBQ8JMgRE2wkFFKsl_fL3Bf0X8wkA1QL3BPIAKf7c9DYIBuwI-_H2-ff7A9wCEfHmANsHIwQJNM_9JPHbBiMT_gvA4v4GCuf6Ci_YIgOmFAML4t0i_-gyCgD3Eyz6Gx3u-vsZ5vnm4uH_PAkFAQ8M__0y3vfx0xLsDNg6AAMQGPPuIAAtLKoCOzgTQAlIYVACKs8HEAAawAe858C-FaPTO-7X0zxTYBy9JELjvG-RBb3g4te8eLQQPNiTBrv2tkk-klKKvVFXDT0l2r-9gDczPVT0EzymQjw-ZWE5vTx8Qz1xPVq-5xa_PYVMqLzxhN69gB-fPLdBDjzC-bS9inZ0OziHK72Vels9Kp8XOv7BtjwCtV29X3obPdOwLr3UOps9NFVGvQ6fdL1O0dG9fiq4vM4N2bvr4LA9f3iMvHwVT7yzzXI9QfuHPAr3yrwWkmK9EV51uz7007wvTXY9xpWJPcLrRDxEIL29tGA9vVvVRzkajZe8BHd7PauLBT1mFuE9QbUGPRPWhrzYwgc9RMeZvfI7srwMdw6-TdoWO5ZhFz0bKps9WJ1GPd9ML7tQw9e9xJJ3PWuMzjoSycY8Kk-FvEJDf7yhVkm7TZ7yPZLcKzw8PSU8Iz17vOqjvrqZ-4-9m0WOPWdtyTxblZQ96g6ovTAwhrxGgZk9oaA0PVLfaLtWH9m8ygNsu2TayLyDid-9XGupPfujOTxTsIY8sSU1vfZFoTsFI6U91gI7vknlmjqV3Dy9PPHBvUPp5rvQoPw8UInQPIpxALxDqR0-H2rbvcSaqTmRLjI7opT1PLf-6Tv2RV87mmxtvU7WpLv7rV29xIQnvQr4kDstfaO92YcmPV6pgLszjea8MKCnPeCgHLyRoFO83yatvRbtnrq8KUA80sMwPRCaertozBQ-NTyDu3EoGrrxaGM99m5ivcG3KbpYvY29rJnKuz0r5boVLAK8FgS1vTmdCrqUQLQ94M1kveKHajlYBFq9jfS9PB8R4TlzS7u98-34PNxy6TiImWI9lyrHveEG17fYAow8g2jNvS4kwrhqUE89E3wTPJRLErnQ1iG9mJaXPWB23TkGJEa9w1e1vQjIXTf9ipC86T36vIePgLlnfIQ8t1yivM1WGrhDmik7oV66O_m1eTgwJkI96TIrvSdMALl1mrs8pN_-PBo22LcjrIw99GwGvs9wpTln0uY8Au0zPfBKgzkGzmM9DSsmPcvVS7YIm_A8uf3SPUdpZTjeWfs82PGfvRgNlzhiV4m8qGJXO95gQbgqTCm9DT29PfDPXzlvj4Q92vOmPVfBDjnl8dS9COJhvR8zsbhopK88txtuPRdFDzgvphk-eDvMPPzmG7kr3BO8ZJUCvnE9G7jOcjS8XQ_Lvahwm7ftkZe8QfaFPX6Fn7azMQa7CK-9vRx9prfK9HA9IuErPvHLijjwsjW9XMzPPQxGCrnnI5-9N8BxPO1kl7dtDpa9LoRmPQTvtzcgADgTQAlIbVABKnMQABpgIfcAMu4nv_I0EfMe3_sZ19UQ1w7BE__8_v_0HcoKHSbFw__w_wngDOepAAAAKhjmGd8AIHHf_NIC3Rvq55vfPCZ_7xQP2uTj9KfNN_JI-fgf0RszAOQSuUAS8ZgRCTYDIAAtSbIhOzgTQAlIb1ACKq8GEAwaoAYAABRCAACQwQAAkEEAAHzCAAC4QQAAYEEAAP5CAADIQQAA4MEAAKhBAAAEQgAAVMIAAFTCAAD4QQAAQMEAAMBAAACOQgAAHMIAADBCAAAAQgAAAEEAAKDBAACMwgAA4MAAAKDBAADgwAAAsEEAAIhBAACIwQAATEIAAFzCAACAPwAAlMIAAIhBAADUwgAAIMEAALhBAACOQgAAgD8AAChCAADAQQAA4EEAAOhBAACwwQAAwEAAANzCAAAUQgAAgEIAAAxCAACcQgAAUMEAAADCAADowQAAgEEAAIA_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-L0AAAy-AAA8PgAAUL0AAOA8AACSPgAAPD4AAKa-AACOvgAAiD0AADA9AACovQAAiD0AACw-AAAsvgAAqL0AAHw-AABwvQAAiL0AAPY-AAB_PwAAdL4AACy-AACAOwAA-L0AALg9AAAMPgAAJD4AAIC7AAAcPgAAJD4AACS-AACYvQAAcL0AAHQ-AAAUvgAAqD0AAJ6-AABkvgAAML0AACy-AACYvQAAuj4AACS-AABsPgAA2L0AABQ-AABwvQAABL4AALi9AAB8vgAA6L0AACQ-AAAsPgAAqL0AALg9AADWPgAAmL0AACQ-AABcPgAAoLwAAII-AAA8PgAAQDwgADgTQAlIfFABKo8CEAEagAIAANg9AACgvAAAhr4AACu_AABAvAAAAz8AAL4-AACYvQAAML0AAAQ-AAAQvQAAQDwAAFA9AACAOwAAlj4AAOC8AAAQPQAA_j4AADS-AAARPwAAgr4AAKg9AADoPQAAED0AAJi9AACWvgAAMD0AAKg9AAD4PQAAir4AAKg9AACgPAAATL4AAOi9AAD4PQAAiL0AAII-AAAkPgAAgr4AAFS-AABwvQAAjj4AAIi9AACIPQAAoLwAAIg9AAB_vwAA6D0AANY-AACyPgAAyL0AADA9AACavgAA1j4AAMg9AABkPgAAgLsAABy-AAA0PgAA6D0AACw-AACWPgAAwj4AAOi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=YNstP0ESndU","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4803136378967730236"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"690529090"},"16667719257089867963":{"videoId":"16667719257089867963","docid":"34-11-5-Z5D813D2FD5E4AD85","description":"Calculus, originally called infinitesimal calculus or \"the calculus of infinitesimals\", is the mathematical study of continuous change, in the same way that geometry is the study of shape and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3096777/27562ee3687504134541eb7123433829/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ylvmPAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D8stueNPVl-I","linkTemplate":"/video/preview/16667719257089867963?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus for Beginners full course | Calculus for Machine learning","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=8stueNPVl-I\",\"src\":\"serp\",\"rvb\":\"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-__j_-wYA9vkGCA0F_AH7_AT--v39AAH__v4CBP4ABP_67PwAAAABAwb9_wAAAPIA-gkBAAAAE_r09QMAAAAIAvgA_QAAAAsB-QII_wEB-fb1CAP_AAARCQgB_wAAAP0H8AgAAAAA__r7BQAAAAAAAAIGAAAAACAALdlt5Ds4E0AJSE5QAiqEAhAAGvABf-gOAM770P_K9tYA1SbjAa0MG_8dJuEAuvELANYOvAHlEiUACgT5AAQAJv_aAOAAJPXu_xDG9v8f4f7_DdbiAAczHAAIAgMCLB0FACEBBf7SRiH_-OURABfX0wMQPygBDg4Q_u8W7f_0FdoBD_49Ac8QDgUa-gv-3csMAfcJ9P3N3cz7ERQU__De__rh9S8HAtz0AiMcEfzUBeUC3un8-hvGFP0NEtEANQny-_sLAv3a9_4GF-7rBwMIGwL1Juz_zOUUA_33CPzG8PYGOtsA-MMKDP058-cK8vUFB_b9BQnv4e326AIBCeoB_P315_HoIAAt0UIXOzgTQAlIYVACKs8HEAAawAe37Ni-XXepPLHUxLwKB8y9Vw8UvDSFDr2o4Ru-3xbsPIfbRjz-Ddo9Xy1SPJz047yhRwy-UtyMvLAsAr3LgDM-5tGIvZhiMzwZgaK9QLW7PeGkX738VCW-MdkuvAdz5jeazLg8vjmCvX_DHzyrTaI9VNwdvQl2Er0BnMW7ff7Bu6CSbr2JR_28k52ovWtwEb3-1UM9YD55vXzWtTwLVRs95J_8uzjU1rs0PMc8cAOTvfVdNrxdHka8EAaePGGZLb0v4tY8ztyoPTDHoTzr-4W9PmhMvYc7ETxWUIy90MEJvVoUkbzqB3U9v4TEO7HVCr1pM_M8Hm_yvdcl0zpjtB6-NhZ7u39gWDwnFxM-T9VzPRWpsDwH5He99bybPFAqq7xDebo8t1I5vaygM7yvZ349wUIcPEJ5HTyJF5o91QIevCEUpbryM788qmvjPHRiDz20OMY7RR0svV5Ugbw02T88TrtTvajBWbxJFeC8z_dwO9Ny2rqqcxY9BJ4qPXz0xDvBo_K8WYFGPWeTqDwFI6U91gI7vknlmjrHg229VxCOvZ23VrzdwX49vLskPYh7kbxBlIk9bSUvvTtI_DqcHFm9jtX7u_nTazxtpJE8Xsh5vR-sNTtz2ci9YjN7PQntybvYv8a8xN5VPH_xMbwPqXg9qDCLPRgwVLsQsmo7gsQ7vZWFqzthggQ9-qX0PCD7rLs7YkM9HYbAPUHibLk04Mc9UbiDPGsb8zlAwSW9KdaUvYg_lzlflIW88LRGvGzIX7jHZxI-rqDpvZAJtLlBpLo87FPpvB72QTkKv0-9Jh7QPYAjOblx3PM7IvwLvRAv2zhUG_y9Yrv7vRPT8jnH5pU7kS-8PEV8ijrkgrM8DtcqPVDjaLrljJK9k7kDveN9nrlGSo69ch90PVhtLblGmtg9sjMAPdYLkDjl8vo8v_xYuJ_7KrkAVie9WLmhvNqNoTnIL3I8l6iePYSQB7ga-Ia9z1hKvS5yxbfU7le8pDkSPsX9Vbmbzuk81vJUPVTLHrjiZ709w6_iPJjSsLiB7Ys9CMpNveesoDhP0aw9w40KPancibi0kBC-2IyiPZl7BLfrI2u9jb64vES307f89VQ9hhQNPX1KzraWSFg8rkjMPB9HUDj3ASg-cGHdvfFnv7moJqe9VD3EvRy4g7h5MxS9aiyWvUjoMLfmOzi9qC1_PcoQyLL2dHo94A_fvT-Zm7fK9HA9IuErPvHLijgTaXY93p9cPW-_c7h9iYK9tN40PUVhPThJXqe9RqyqPVQyiDggADgTQAlIbVABKnMQABpgIvMAOQon1wH9V_D1wfwjwuofygqoEP8W8v_2HuEqCi3A1wwP__7aH-OiAAAAHQDHLBMAFX-g0fzxHAn4rr7FEhhvrRUAnNIxDMO_Qgz4DAE9ISdRANIWtQAj1d0h7xk-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-AABMvgAAor4AAAy-AACavgAA6D0AADA9AAAMvgAAoDwAAPo-AAD4vQAABD4AAB8_AAB_PwAAlr4AAHC9AAAQPQAAQDwAACw-AAAUPgAAQDwAAEC8AAAEPgAAXD4AAGy-AAAMvgAAiD0AAAQ-AAAMvgAAuL0AAPa-AAB8vgAAyL0AABS-AACovQAA-j4AAKA8AACIvQAA6D0AAKY-AACCvgAAvr4AABC9AADOvgAAmL0AABw-AADIvQAAgLsAABA9AAA7PwAALL4AAKY-AABQPQAApr4AAFw-AAAcvgAAJD4gADgTQAlIfFABKo8CEAEagAIAANi9AACovQAA2L0AAEG_AAAUvgAAFD4AAFQ-AACovQAAyL0AANi9AABwvQAAZL4AAEA8AAB8vgAALD4AAOC8AACIPQAA4j4AAIA7AACaPgAAgDsAAGw-AABQvQAAFD4AAIi9AAD4vQAAHL4AADA9AACYvQAALL4AAAQ-AAD4PQAAmL0AAHC9AACIPQAAuL0AAII-AACoPQAAyr4AAOA8AAAcvgAATD4AANi9AAAEPgAAiD0AABS-AAB_vwAAij4AAIo-AADgPAAADD4AAES-AAA0vgAAnj4AAMg9AAA8PgAAoDwAAJg9AADgvAAAED0AANg9AADIPQAAZD4AAEC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=8stueNPVl-I","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":474,"cratio":1.80168,"dups":["16667719257089867963"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"videoContentId":"195107267"},"8967508450425227325":{"videoId":"8967508450425227325","docid":"34-1-3-ZBC015E31A4B09BE5","description":"An introduction to Calculus. Learn more math at https://TCMathAcademy.com/. Algebra 2 https://tabletclass-academy.teachable... Pre-Calculus https://tabletclass-academy.teachable... Math Notes...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4327502/3a67a8a2bd8261ca60996cb4c7adc179/564x318_1"},"target":"_self","position":"19","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dq1iSmAh3n-c","linkTemplate":"/video/preview/8967508450425227325?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Basic Calculus – Understand Why Calculus is so Powerful!","related_orig_text":"Calculus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calculus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=q1iSmAh3n-c\",\"src\":\"serp\",\"rvb\":\"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_wH_-wYA9vkGCA0F_AH7_AT9-v39APIAAvz-AQAABwn89_sBAAD_CQH3AAAAAPIA-gkBAAAAEPz--QMAAAAV-fwA_wAAAAYD9gH_AQAA-gDyDQP_AAAMAQoFAAAAAAAJ-ggAAAAA9v38CAAAAAAC-AUGAAAAACAALcSf4zs4E0AJSE5QAipzEAAaYBgNAD_-8ei8Jh_eB9L2-uYJEQPs0wH_BSIA2Q7kAAAS0sgCG_8w6fn4uAAAAAf29ggUAP9j5NLk6h3--tTb2Bo4ZrwB8ucG4Orz-zD2APcq5tEkKQCBEtchA-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-AAAwPQAAoDwAAIA7AAB8PgAAcL0AAHQ-AAARvwAATL4AAOA8AAC4vQAABD4AAAS-AACuPgAAPL4AAMi9AADOPgAAmL0AADA9AADmPgAAfz8AAK6-AAA8PgAAgDsAAMg9AAAkPgAAFD4AAOg9AAAkPgAAXD4AAAw-AAAUvgAAir4AAES-AABAvAAA-L0AAPi9AAAkvgAALL4AABC9AABEvgAAuD0AALo-AABAPAAAyL0AADC9AADIPQAALL4AAPi9AAAcPgAAmr4AAKC8AAAEPgAAcL0AAPi9AACgPAAAET8AAJi9AADgvAAAML0AADy-AAB8PgAA2D0AANi9IAA4E0AJSHxQASqPAhABGoACAABAvAAAkj4AAMi9AAAnvwAAVL4AAHw-AACuPgAAqD0AAEC8AAAQvQAAQDwAADS-AACAOwAAyL0AAIY-AABAPAAA-L0AAOI-AAAcvgAAyj4AABw-AAAcPgAAUL0AADS-AADIvQAAPL4AAES-AADoPQAAfL4AAGy-AABwPQAA6D0AAJi9AABEvgAAQDwAAAy-AAB0PgAAyD0AAJq-AAAsvgAAHL4AAOA8AAAwvQAAiD0AABQ-AACgPAAAf78AADA9AACKPgAALD4AAIg9AAAsPgAAir4AALY-AAA0PgAATD4AAIi9AAC4vQAAij4AAEw-AAAUPgAAiD0AAK4-AACAOyAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=q1iSmAh3n-c","parent-reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8967508450425227325"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"13130706099511085550":{"videoId":"13130706099511085550","title":"\u0007[Calculus\u0007] Made EASY! Learning \u0007[Calculus\u0007]","cleanTitle":"Calculus Made EASY! Learning Calculus","host":{"title":"YouTube","href":"http://www.youtube.com/live/FdBf44rp0LU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FdBf44rp0LU?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDRnBJaXd1aU45NXRTUXBzODdPbW5kZw==","name":"Dr Ji Tutoring","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr+Ji+Tutoring","origUrl":"http://www.youtube.com/@drjitutoring","a11yText":"Dr Ji Tutoring. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":788,"text":"13:08","a11yText":"Süre 13 dakika 8 saniye","shortText":"13 dk."},"views":{"text":"64,7bin","a11yText":"64,7 bin izleme"},"date":"31 oca 2024","modifyTime":1706659200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FdBf44rp0LU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FdBf44rp0LU","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":788},"parentClipId":"13130706099511085550","href":"/preview/13130706099511085550?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/13130706099511085550?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16786679170945077717":{"videoId":"16786679170945077717","title":"\u0007[Calculus\u0007] 1 - Genel Matematik Vize-Final / Genel Tekrar","cleanTitle":"Calculus 1 - Genel Matematik Vize-Final / Genel Tekrar","host":{"title":"YouTube","href":"http://www.youtube.com/live/LveH5BILAlM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/LveH5BILAlM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDUzgtSWtuUWQ1UkJ0a3hBZW5xNFMtZw==","name":"Tunç Kurt Matematik","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Tun%C3%A7+Kurt+Matematik","origUrl":"http://www.youtube.com/c/Tun%C3%A7KurtMatematik","a11yText":"Tunç Kurt Matematik. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":7845,"text":"2:10:45","a11yText":"Süre 2 saat 10 dakika 45 saniye","shortText":"2 sa. 10 dk."},"views":{"text":"158,3bin","a11yText":"158,3 bin izleme"},"date":"27 eki 2024","modifyTime":1729987200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/LveH5BILAlM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=LveH5BILAlM","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":7845},"parentClipId":"16786679170945077717","href":"/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/16786679170945077717?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10380429351396265512":{"videoId":"10380429351396265512","title":"\u0007[Calculus\u0007]-Genel Matematik Türev Vize-Final Soruları | Türev Kuralları, Teğet Denklemi, Grafik Çiz...","cleanTitle":"Calculus-Genel Matematik Türev Vize-Final Soruları | Türev Kuralları, Teğet Denklemi, Grafik Çizimi","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Z5J-lH-mV3Q","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Z5J-lH-mV3Q?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDUzgtSWtuUWQ1UkJ0a3hBZW5xNFMtZw==","name":"Tunç Kurt Matematik","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Tun%C3%A7+Kurt+Matematik","origUrl":"http://www.youtube.com/@Tun%C3%A7KurtMatematik","a11yText":"Tunç Kurt Matematik. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3018,"text":"50:18","a11yText":"Süre 50 dakika 18 saniye","shortText":"50 dk."},"views":{"text":"9,1bin","a11yText":"9,1 bin izleme"},"date":"28 ara 2025","modifyTime":1766880000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Z5J-lH-mV3Q?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Z5J-lH-mV3Q","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":3018},"parentClipId":"10380429351396265512","href":"/preview/10380429351396265512?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/10380429351396265512?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3211280197069360163":{"videoId":"3211280197069360163","title":"\u0007[Calculus\u0007] 1 - Full College Course","cleanTitle":"Calculus 1 - Full College Course","host":{"title":"YouTube","href":"http://www.youtube.com/live/HfACrKJ_Y2w","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/HfACrKJ_Y2w?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDOGJ1dElTRndULVdsN0VWMGhVSzBCUQ==","name":"freeCodeCamp.org","isVerified":true,"subscribersCount":0,"url":"/video/search?text=freeCodeCamp.org","origUrl":"http://www.youtube.com/@freecodecamp","a11yText":"freeCodeCamp.org. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":42827,"text":"11:53:47","a11yText":"Süre 11 saat 53 dakika 47 saniye","shortText":"11 sa. 53 dk."},"views":{"text":"8,7milyon","a11yText":"8,7 milyon izleme"},"date":"25 ağu 2020","modifyTime":1598369408000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/HfACrKJ_Y2w?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=HfACrKJ_Y2w","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":42827},"parentClipId":"3211280197069360163","href":"/preview/3211280197069360163?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/3211280197069360163?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2863188196425289924":{"videoId":"2863188196425289924","title":"\u0007[Calculus\u0007]-1 & 22. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #\u0007[calculus\u0007]1 #...","cleanTitle":"Calculus-1 & 22. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #calculus1 #calculus","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=0JN3ZkZwYtA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/0JN3ZkZwYtA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMWdpRVAzbzFwLS1UVHFxcFhKQVNOdw==","name":"YouTube Üniversitesi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=YouTube+%C3%9Cniversitesi","origUrl":"http://www.youtube.com/@youtubeuniversitesi","a11yText":"YouTube Üniversitesi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2081,"text":"34:41","a11yText":"Süre 34 dakika 41 saniye","shortText":"34 dk."},"views":{"text":"1,8bin","a11yText":"1,8 bin izleme"},"date":"5 oca 2025","modifyTime":1736032231000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/0JN3ZkZwYtA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=0JN3ZkZwYtA","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":2081},"parentClipId":"2863188196425289924","href":"/preview/2863188196425289924?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/2863188196425289924?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7531801773533061774":{"videoId":"7531801773533061774","title":"\u0007[Calculus\u0007]-Genel Matematik Türev Vize-Final Soruları | Türev Kuralları, Teğet Denklemi, Grafik Çiz...","cleanTitle":"Calculus-Genel Matematik Türev Vize-Final Soruları | Türev Kuralları, Teğet Denklemi, Grafik Çizimi","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=E2AgNOlzqz0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/E2AgNOlzqz0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDUzgtSWtuUWQ1UkJ0a3hBZW5xNFMtZw==","name":"Tunç Kurt Matematik","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Tun%C3%A7+Kurt+Matematik","origUrl":"http://www.youtube.com/c/Tun%C3%A7KurtMatematik","a11yText":"Tunç Kurt Matematik. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3004,"text":"50:04","a11yText":"Süre 50 dakika 4 saniye","shortText":"50 dk."},"date":"28 ara 2025","modifyTime":1766880000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/E2AgNOlzqz0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=E2AgNOlzqz0","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":3004},"parentClipId":"7531801773533061774","href":"/preview/7531801773533061774?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/7531801773533061774?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"204223579808164201":{"videoId":"204223579808164201","title":"Süreklilik - \u0007[Calculus\u0007] 1 Dersi","cleanTitle":"Süreklilik - Calculus 1 Dersi","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=hPbM4hOCWp4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/hPbM4hOCWp4?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDWkEyVWR6TW4xM2gtNktUekJHZUdRUQ==","name":"Mustafa KARACA","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mustafa+KARACA","origUrl":"http://www.youtube.com/@MustafaKARACA","a11yText":"Mustafa KARACA. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":699,"text":"11:39","a11yText":"Süre 11 dakika 39 saniye","shortText":"11 dk."},"date":"24 şub 2025","modifyTime":1740355200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/hPbM4hOCWp4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=hPbM4hOCWp4","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":699},"parentClipId":"204223579808164201","href":"/preview/204223579808164201?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/204223579808164201?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10563874353047041307":{"videoId":"10563874353047041307","title":"\u0007[Calculus\u0007] 1 dersi - ön bilgiler","cleanTitle":"Calculus 1 dersi - ön bilgiler","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=P59QlxnQ2nM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/P59QlxnQ2nM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDWkEyVWR6TW4xM2gtNktUekJHZUdRUQ==","name":"Mustafa KARACA","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mustafa+KARACA","origUrl":"http://www.youtube.com/@MustafaKARACA","a11yText":"Mustafa KARACA. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3369,"text":"56:09","a11yText":"Süre 56 dakika 9 saniye","shortText":"56 dk."},"date":"15 ara 2024","modifyTime":1734220800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/P59QlxnQ2nM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=P59QlxnQ2nM","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":3369},"parentClipId":"10563874353047041307","href":"/preview/10563874353047041307?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/10563874353047041307?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16451549670387440466":{"videoId":"16451549670387440466","title":"\u0007[Calculus\u0007]-1 & 11. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #\u0007[calculus\u0007] #\u0007...","cleanTitle":"Calculus-1 & 11. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #calculus #calculus1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=vFQpM1MrnUo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vFQpM1MrnUo?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMWdpRVAzbzFwLS1UVHFxcFhKQVNOdw==","name":"YouTube Üniversitesi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=YouTube+%C3%9Cniversitesi","origUrl":"http://www.youtube.com/@youtubeuniversitesi","a11yText":"YouTube Üniversitesi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2590,"text":"43:10","a11yText":"Süre 43 dakika 10 saniye","shortText":"43 dk."},"views":{"text":"1,4bin","a11yText":"1,4 bin izleme"},"date":"2 ara 2024","modifyTime":1733172166000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vFQpM1MrnUo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vFQpM1MrnUo","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":2590},"parentClipId":"16451549670387440466","href":"/preview/16451549670387440466?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/16451549670387440466?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9376351462368876853":{"videoId":"9376351462368876853","title":"\u0007[Calculus\u0007]-1 & 21. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #\u0007[calculus\u0007]1 #...","cleanTitle":"Calculus-1 & 21. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #calculus1 #calculus","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=0moT-VddtJo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/0moT-VddtJo?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMWdpRVAzbzFwLS1UVHFxcFhKQVNOdw==","name":"YouTube Üniversitesi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=YouTube+%C3%9Cniversitesi","origUrl":"http://www.youtube.com/@youtubeuniversitesi","a11yText":"YouTube Üniversitesi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1383,"text":"23:03","a11yText":"Süre 23 dakika 3 saniye","shortText":"23 dk."},"views":{"text":"1,7bin","a11yText":"1,7 bin izleme"},"date":"4 oca 2025","modifyTime":1735995486000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/0moT-VddtJo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=0moT-VddtJo","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":1383},"parentClipId":"9376351462368876853","href":"/preview/9376351462368876853?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/9376351462368876853?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7312381737745829243":{"videoId":"7312381737745829243","title":"\u0007[Calculus\u0007]-1 & 19. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #\u0007[calculus\u0007]1 #...","cleanTitle":"Calculus-1 & 19. Ders Konu Anlatımı ve Soru Çözümü & Dr. İhsan Timuçin Dolapçi #calculus1 #calculus","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=OtwqAupXRfU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/OtwqAupXRfU?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMWdpRVAzbzFwLS1UVHFxcFhKQVNOdw==","name":"YouTube Üniversitesi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=YouTube+%C3%9Cniversitesi","origUrl":"http://www.youtube.com/@youtubeuniversitesi","a11yText":"YouTube Üniversitesi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1855,"text":"30:55","a11yText":"Süre 30 dakika 55 saniye","shortText":"30 dk."},"views":{"text":"1,8bin","a11yText":"1,8 bin izleme"},"date":"2 oca 2025","modifyTime":1735805386000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/OtwqAupXRfU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=OtwqAupXRfU","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":1855},"parentClipId":"7312381737745829243","href":"/preview/7312381737745829243?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/7312381737745829243?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3325929258122900113":{"videoId":"3325929258122900113","title":"\u0007[Calculus\u0007] Made EASY! Finally Understand It in Minutes!","cleanTitle":"Calculus Made EASY! Finally Understand It in Minutes!","host":{"title":"YouTube","href":"http://www.youtube.com/live/AVWrB1vt5nM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/AVWrB1vt5nM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZ2xOWHpCbzZibUtjOW90S2YtT3VHUQ==","name":"TabletClass Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=TabletClass+Math","origUrl":"http://www.youtube.com/@tabletclass","a11yText":"TabletClass Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1242,"text":"20:42","a11yText":"Süre 20 dakika 42 saniye","shortText":"20 dk."},"views":{"text":"1,5milyon","a11yText":"1,5 milyon izleme"},"date":"11 mar 2025","modifyTime":1741644009000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/AVWrB1vt5nM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=AVWrB1vt5nM","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":1242},"parentClipId":"3325929258122900113","href":"/preview/3325929258122900113?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/3325929258122900113?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5282881680882241403":{"videoId":"5282881680882241403","title":"What is \u0007[Calculus\u0007]? (Mathematics)","cleanTitle":"What is Calculus? (Mathematics)","host":{"title":"YouTube","href":"http://www.youtube.com/v/w3GV9pumczQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/w3GV9pumczQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVzZUWE1aNVBxNnlMNl9rNU5aMmUwUQ==","name":"Socratica","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Socratica","origUrl":"http://www.youtube.com/@Socratica","a11yText":"Socratica. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":553,"text":"9:13","a11yText":"Süre 9 dakika 13 saniye","shortText":"9 dk."},"views":{"text":"1,4milyon","a11yText":"1,4 milyon izleme"},"date":"29 eyl 2016","modifyTime":1475107200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/w3GV9pumczQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=w3GV9pumczQ","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":553},"parentClipId":"5282881680882241403","href":"/preview/5282881680882241403?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/5282881680882241403?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14137339781875401432":{"videoId":"14137339781875401432","title":"Introduction To \u0007[Calculus\u0007] | \u0007[Calculus\u0007] For Data Science | \u0007[Calculus\u0007] Basics | SImplilearn","cleanTitle":"Introduction To Calculus | Calculus For Data Science | Calculus Basics | SImplilearn","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=eEyrIXCALmg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/eEyrIXCALmg?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDc3ZxVkd0YmJ5SGFNb2V2eFBBcTlGZw==","name":"Simplilearn","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Simplilearn","origUrl":"http://www.youtube.com/@SimplilearnOfficial","a11yText":"Simplilearn. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":797,"text":"13:17","a11yText":"Süre 13 dakika 17 saniye","shortText":"13 dk."},"views":{"text":"6bin","a11yText":"6 bin izleme"},"date":"13 haz 2024","modifyTime":1718296207000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/eEyrIXCALmg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=eEyrIXCALmg","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":797},"parentClipId":"14137339781875401432","href":"/preview/14137339781875401432?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/14137339781875401432?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4803136378967730236":{"videoId":"4803136378967730236","title":"\u0007[Calculus\u0007] 1 - Introduction to Limits","cleanTitle":"Calculus 1 - Introduction to Limits","host":{"title":"YouTube","href":"http://www.youtube.com/live/YNstP0ESndU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/YNstP0ESndU?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDRVdwYkZMem9ZR1BmdVdVTUZQU2FvQQ==","name":"The Organic Chemistry Tutor","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Organic+Chemistry+Tutor","origUrl":"http://www.youtube.com/@TheOrganicChemistryTutor","a11yText":"The Organic Chemistry Tutor. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1219,"text":"20:19","a11yText":"Süre 20 dakika 19 saniye","shortText":"20 dk."},"views":{"text":"6,2milyon","a11yText":"6,2 milyon izleme"},"date":"1 oca 2021","modifyTime":1609459200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/YNstP0ESndU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=YNstP0ESndU","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":1219},"parentClipId":"4803136378967730236","href":"/preview/4803136378967730236?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/4803136378967730236?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16667719257089867963":{"videoId":"16667719257089867963","title":"\u0007[Calculus\u0007] for Beginners full course | \u0007[Calculus\u0007] for Machine learning","cleanTitle":"Calculus for Beginners full course | Calculus for Machine learning","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=8stueNPVl-I","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/8stueNPVl-I?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDd000RUk4bXF2c1NVUjdPdTFEMHFyQQ==","name":"Academic Lesson","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Academic+Lesson","origUrl":"http://www.youtube.com/channel/UCwM4EI8mqvsSUR7Ou1D0qrA","a11yText":"Academic Lesson. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":39150,"text":"10:52:30","a11yText":"Süre 10 saat 52 dakika 30 saniye","shortText":"10 sa. 52 dk."},"views":{"text":"935,2bin","a11yText":"935,2 bin izleme"},"date":"13 ağu 2019","modifyTime":1565679600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/8stueNPVl-I?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=8stueNPVl-I","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":39150},"parentClipId":"16667719257089867963","href":"/preview/16667719257089867963?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/16667719257089867963?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8967508450425227325":{"videoId":"8967508450425227325","title":"Basic \u0007[Calculus\u0007] – Understand Why \u0007[Calculus\u0007] is so Powerful!","cleanTitle":"Basic Calculus – Understand Why Calculus is so Powerful!","host":{"title":"YouTube","href":"http://www.youtube.com/live/q1iSmAh3n-c","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/q1iSmAh3n-c?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZ2xOWHpCbzZibUtjOW90S2YtT3VHUQ==","name":"TabletClass Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=TabletClass+Math","origUrl":"http://www.youtube.com/@tabletclass","a11yText":"TabletClass Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1091,"text":"18:11","a11yText":"Süre 18 dakika 11 saniye","shortText":"18 dk."},"views":{"text":"1,6milyon","a11yText":"1,6 milyon izleme"},"date":"6 eki 2024","modifyTime":1728172800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/q1iSmAh3n-c?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=q1iSmAh3n-c","reqid":"1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL","duration":1091},"parentClipId":"8967508450425227325","href":"/preview/8967508450425227325?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","rawHref":"/video/preview/8967508450425227325?parent-reqid=1769331165943838-10390976652291060673-balancer-l7leveler-kubr-yp-klg-37-BAL&text=Calculus","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"0390976652291060673737","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Calculus","queryUriEscaped":"Calculus","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}