{"pages":{"search":{"query":"Calcvids","originalQuery":"Calcvids","serpid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","parentReqid":"","serpItems":[{"id":"9282257434178701589-0-0","type":"videoSnippet","props":{"videoId":"9282257434178701589"},"curPage":0},{"id":"3481427775514802025-0-1","type":"videoSnippet","props":{"videoId":"3481427775514802025"},"curPage":0},{"id":"12174849316937140142-0-2","type":"videoSnippet","props":{"videoId":"12174849316937140142"},"curPage":0},{"id":"13294776509135489247-0-3","type":"videoSnippet","props":{"videoId":"13294776509135489247"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dENhbGN2aWRzCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","ui":"desktop","yuid":"6238840201774352430"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"12870137839134559089-0-5","type":"videoSnippet","props":{"videoId":"12870137839134559089"},"curPage":0},{"id":"2563493859544381896-0-6","type":"videoSnippet","props":{"videoId":"2563493859544381896"},"curPage":0},{"id":"9297799314078406077-0-7","type":"videoSnippet","props":{"videoId":"9297799314078406077"},"curPage":0},{"id":"2616258273166857162-0-8","type":"videoSnippet","props":{"videoId":"2616258273166857162"},"curPage":0},{"id":"2858228183436681277-0-9","type":"videoSnippet","props":{"videoId":"2858228183436681277"},"curPage":0},{"id":"18260506255645127453-0-10","type":"videoSnippet","props":{"videoId":"18260506255645127453"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dENhbGN2aWRzCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","ui":"desktop","yuid":"6238840201774352430"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"13121493382717864800-0-12","type":"videoSnippet","props":{"videoId":"13121493382717864800"},"curPage":0},{"id":"15224921073012254317-0-13","type":"videoSnippet","props":{"videoId":"15224921073012254317"},"curPage":0},{"id":"7295997958195334042-0-14","type":"videoSnippet","props":{"videoId":"7295997958195334042"},"curPage":0},{"id":"8969929052136024315-0-15","type":"videoSnippet","props":{"videoId":"8969929052136024315"},"curPage":0},{"id":"16065133609429429715-0-16","type":"videoSnippet","props":{"videoId":"16065133609429429715"},"curPage":0},{"id":"11062778651335581522-0-17","type":"videoSnippet","props":{"videoId":"11062778651335581522"},"curPage":0},{"id":"10792986471142374538-0-18","type":"videoSnippet","props":{"videoId":"10792986471142374538"},"curPage":0},{"id":"2596627789396357476-0-19","type":"videoSnippet","props":{"videoId":"2596627789396357476"},"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,"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":"dENhbGN2aWRzCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","ui":"desktop","yuid":"6238840201774352430"}}},"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%3DCalcvids","pages":[{"reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"4125799953761814267232","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_search_toggle_with_text":1,"video_viewer_show_placeholder":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":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"}}},"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_channel_link_mode":2,"video_partner_label":1,"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_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,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"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":0,"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":["1414494,0,3;1480630,0,46;1518678,0,74;1504421,0,2;1490007,0,64;1152684,0,78;1499733,0,45;1504482,0,37;1506464,0,5;1509161,0,55;1431645,0,32;9346,0,51;43962,0,4;123842,0,46;1515331,0,46;1501449,0,84;1282204,0,47;1509927,0,99;1513373,0,51;1349038,0,2;1518187,0,79;1508265,0,59;89018,0,46;1517896,0,54;1509174,0,66;1511870,0,67;663894,0,84;901025,0,43;1515118,0,43;151171,0,10;126344,0,58;1281084,0,35;287509,0,62;1447467,0,40;1231501,0,9;1482982,0,68;1296808,0,15;912286,0,81"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DCalcvids","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=Calcvids","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":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=Calcvids","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Calcvids: Yandex'te 210 video bulundu","description":"Результаты поиска по запросу \"Calcvids\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Calcvids — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y40ff2f7a69cc334e10d979ba28417179","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1414494,1480630,1518678,1504421,1490007,1152684,1499733,1504482,1506464,1509161,1431645,9346,43962,123842,1515331,1501449,1282204,1509927,1513373,1349038,1518187,1508265,89018,1517896,1509174,1511870,663894,901025,1515118,151171,126344,1281084,287509,1447467,1231501,1482982,1296808,912286","queryText":"Calcvids","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"6238840201774352430","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459585,1461130,1492788,1495633,1509771,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1774352444","tz":"America/Louisville","to_iso":"2026-03-24T07:40:44-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-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":"1414494,1480630,1518678,1504421,1490007,1152684,1499733,1504482,1506464,1509161,1431645,9346,43962,123842,1515331,1501449,1282204,1509927,1513373,1349038,1518187,1508265,89018,1517896,1509174,1511870,663894,901025,1515118,151171,126344,1281084,287509,1447467,1231501,1482982,1296808,912286","queryText":"Calcvids","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"6238840201774352430","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":"4125799953761814267232","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":152,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"shouldCensorShockContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isCommentsSmartNonStopEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"isCommentsAuthPopup":false,"preventAdvHideOnEmpty":false,"isPlayerChangeCounterEnabled":false,"isSmallTitle":false,"shouldRestoreMuteState":false,"isAdvUnderPlayerWithSlider":false,"isAdvUnderPlayerCommentsAligned":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"showShock":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"6238840201774352430","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1791.0__bb7f1b761cfb4014c3a830fc98ab81eb0523c6e1","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","request_entry_completed":"2021","snippet":"254","icon":"1167","abuse":"1436","submit":"297","extralinks":"3557","feedback":"296","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"9282257434178701589":{"videoId":"9282257434178701589","docid":"34-5-11-Z5BA76808F8251251","description":"This video describes the first part of the fundamental theorem of calculus—specifically, that you can compute the value of a definite integral using an antiderivative—and explains why it is true.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4341816/0d9cb3c162719dcda1657e6dc839bffb/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/IAJyFAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DAeASWdqiDv0","linkTemplate":"/video/preview/9282257434178701589?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"First Fundamental Theorem of Calculus","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=AeASWdqiDv0\",\"src\":\"serp\",\"rvb\":\"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-vsH_wIA-PfzDgcH_AHwBf8A-v_-APoG__QCBP4A_QMA-fYBAAABGAz-AQAAAAD78g34_gAAJf32_QAAAAAJ8_cL-wAAAAYD9gH_AQAACP_2CgT_AAAIBAIKAAAAAPILAgEE-fcF_AINDgAAAAAC9BAGAAAAACAALSN_2Ds4E0AJSE5QAiqEAhAAGvABTRX6_8rx3__zBOIA6wj3AIHw-__6FvQA2vn_APcs5gAa-_QB7B0E_wMAHP_NHxQB_frb_wL7LwAQ8gv_FvgdAP72HgATDQoAGyYc__0BCgDdIgH_ExAUAOLQAv4GCN7_FwMD_fPx8AH59-YEB-EtAhf49gQZCgP_-hIWBPAFEP70DuH-BucBAQfrDQjjAxgBIAfhAxk05wDrAgQI9PgEBRH4_Pof7OH-JRru_QfzAvPrAv8D7wXv_w7n8wjoBvj38fMHAAT_DvkJ-u_3H_EFBAIQAgUIFv3xBgUCCiDMBPbhDgsE7fT4Ct4V-goT5vcMIAAtkPpOOzgTQAlIYVACKnMQABpgHAwAJw4687fzK-D2se8WtOsxCfT02P_p2QDzB9AR9BCa0tQf_yfWDuCrAAAAGgz3HboA82_D7tDy6Sj19O_bJAl_KTYCqyH49d2LHD3s2foG3fQPAP8ArxYr6dA8G0chIAAtC2wdOzgTQAlIb1ACKq8GEAwaoAYAAIBAAACAPwAAoMAAAKBBAACAPwAAaEIAAMBCAAAgQgAAJMIAAODAAAAwwQAAIMEAACzCAADYQQAAwEAAAMjBAABgwQAAsMEAAIC_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-EEAAATCAABYQgAAkEIAAChCAAA4QgAAgD8AAMjBAAAswgAAwMAAABhCAADYwQAAKEIAAOjBAACuwgAAiMIAAFhCAACgwAAAikIAAKBAAACIwQAAkMIAAMhBAABQQQAAGMIAACjCAABAwQAA2EEAAJDBAABIwgAAEEEAABzCAACQwQAAgsIAAJjCAACaQgAASEIAADDCAACAwQAAJEIAAIDAAADAQAAAaEIAAGRCAAAAQAAALEIAAIpCAABAQAAAsEEAAIjCAACAvyAAOBNACUh1UAEqjwIQABqAAgAA2L0AAHC9AADoPQAAUL0AAFS-AAAUPgAA4DwAAAG_AAAkvgAAiL0AAJg9AACAuwAAiD0AAGw-AABUvgAAZL4AAEw-AAAwvQAAiD0AANI-AAB_PwAA6L0AANg9AAA8PgAAXL4AAIo-AADIvQAARL4AAEQ-AAA8PgAAiD0AAEy-AAC4vQAAPD4AAIg9AACovQAA2L0AAI6-AAAMvgAAFL4AACS-AAAQPQAAsj4AAFC9AABkvgAAqL0AAKC8AACOvgAAmr4AAOi9AAAsvgAAXD4AAHQ-AABQPQAAPL4AADC9AAAdPwAAPD4AAEA8AAA8PgAA4LwAADA9AACoPQAAPL4gADgTQAlIfFABKo8CEAEagAIAALi9AAB0PgAAgDsAAD-_AAC-vgAAmD0AANY-AACoPQAAHD4AAJg9AABUPgAAqr4AAK4-AAAsvgAADD4AAKA8AAB0PgAABz8AADC9AAA0PgAAEL0AABw-AAD4PQAAmL0AAKC8AABwPQAA4DwAABQ-AADgvAAAXL4AAEA8AAD4PQAAkr4AAKq-AAD4vQAAUL0AAFw-AACaPgAAhr4AAHy-AADYvQAA4DwAAHC9AADIPQAAkj4AAFA9AAB_vwAA6D0AAHC9AACaPgAAmj4AADQ-AADgvAAAZD4AAIC7AAD4PQAAUL0AADQ-AADoPQAAJL4AAMI-AACYvQAAXD4AAAS-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=AeASWdqiDv0","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9282257434178701589"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"3481427775514802025":{"videoId":"3481427775514802025","docid":"34-3-3-Z3D00C4188881481B","description":"In this video, we describe how quantitative reasoning is used in calculus as part of the concepts of derivatives and integrals. This video is part of the Calculus Videos Project For more videos...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1780623/bdb70d48d9bcd8b16b02b7529ab06ac7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/JUdcdwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Diosg_7QqetI","linkTemplate":"/video/preview/3481427775514802025?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Quantitative Reasoning in Calculus","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=iosg_7QqetI\",\"src\":\"serp\",\"rvb\":\"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_gIA-AcFCAAG_QL-BgUACf3-AP_6-P0GBP4A9wT29fgAAADuCAf4BQAAAPj5-w___wAAGwL79QMAAAAR6fwG_wAAAAkH8_b_AQAA-QH5-AP_AAAV_gYDAAAAAAAIAvcDAAAA7QP5DgAAAAAMBgj6AAAAACAALVog2Ds4E0AJSE5QAiqEAhAAGvABf_oEA70c4__j5ecAHRfiALEL7QAwN-P_wPvrAK8Szv8S-RAABPYDAB3q7wHV__7_4QcB_-PhNQApBBIAS_cf_9ckFQE67vsAGwsA_zH7A__CGP__2wIlAf3L4QANF_P-MdkY_vYK5AIVIOoB_94aAx3-HQUSBAYGBRf-_O8RAQXlA-kACgD2CRb2FvzMQgwCF_UH__onCPsEDwIACt0pBw8D-_0UOuv__gnY_OofCAHvJA33K9n5-vcEDvwD2P712PLw8wLqHAIBCAT0-fESDfvuDAPp3wUQE_cC7__rB_TdJgUG1vUICPo48wLv-fwNIAAtrqAfOzgTQAlIYVACKnMQABpgFgcAIQkG-tT2MvzH1uUMB_7b_OLW-ADq9wAKJM75CDbk2vUE_xLuE-a7AAAA-sccFvQA7FzA3fPdChAMxcP1JCV_-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_AADAwQAAwEEAAGBBAADAwQAAEEEAAI5CAACowQAAlMIAAHBBAAAAwAAABMIAACBBAADYQQAAfEIAALDBAACAwAAAikIAAFzCAACMwgAAisIAAKDBAABQQQAAMMEAABDCAAAgwQAAuEEAANhBAAAwQQAAcEIAAAzCAACgwAAAQEEAABBCAACoQQAAgL8AAADCAACgwSAAOBNACUh1UAEqjwIQABqAAgAAkr4AAKC8AADovQAAmL0AAES-AABQPQAAnj4AACG_AABUvgAA6L0AAFC9AACovQAAgLsAAFQ-AAAcvgAAXL4AAHQ-AACoPQAAVD4AADk_AAB_PwAALL4AACy-AAAsPgAA2L0AAHC9AADgPAAAkr4AAFQ-AAC6PgAAJD4AAPa-AABQPQAAFL4AAIA7AAAQvQAAbL4AALK-AAAkvgAAgLsAAGy-AAAwPQAAlj4AAAS-AADovQAAgDsAADQ-AADmvgAAfL4AAHC9AABEvgAAZD4AAJ4-AAAEvgAAfL4AAOA8AABjPwAA-D0AAIo-AADgPAAAJL4AAKY-AABAPAAAzr4gADgTQAlIfFABKo8CEAEagAIAAIi9AAAkPgAAQLwAABe_AAAUvgAAMD0AAPg9AAAwPQAAuL0AAPg9AABAPAAAhr4AAEC8AAAEvgAAmD0AAOC8AABcPgAACz8AAHC9AAB8PgAAqL0AAPg9AACYvQAA2L0AAKA8AACAuwAAML0AAFC9AACgvAAAyD0AABA9AAAcPgAARL4AAEC8AADgvAAAcL0AAKg9AAAkPgAAbL4AADS-AADgvAAABD4AALi9AACoPQAAmL0AABA9AAB_vwAAqD0AAKA8AAAEPgAARD4AADA9AABAPAAARD4AAOA8AABQPQAAED0AAAQ-AAC4vQAAMD0AAOg9AAAwvQAADD4AANi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=iosg_7QqetI","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["3481427775514802025"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2273674167"},"12174849316937140142":{"videoId":"12174849316937140142","docid":"34-4-14-Z2AEB2CD8F1AF68D4","description":"This video shows how to use slopes of secant lines to approximate the slope of a tangent line to a function at a point, using the scenario of the speed of a baseball. This video is part of the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4277675/c317348f2350991270872fb22e328c84/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/xWG9awEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DqWnvhjVZsXc","linkTemplate":"/video/preview/12174849316937140142?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Slopes of Secant and Tangent Lines - Part 1","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qWnvhjVZsXc\",\"src\":\"serp\",\"rvb\":\"Eq0DChM5MjgyMjU3NDM0MTc4NzAxNTg5ChMzNDgxNDI3Nzc1NTE0ODAyMDI1ChQxMjE3NDg0OTMxNjkzNzE0MDE0MgoUMTMyOTQ3NzY1MDkxMzU0ODkyNDcKFDEyODcwMTM3ODM5MTM0NTU5MDg5ChMyNTYzNDkzODU5NTQ0MzgxODk2ChM5Mjk3Nzk5MzE0MDc4NDA2MDc3ChMyNjE2MjU4MjczMTY2ODU3MTYyChMyODU4MjI4MTgzNDM2NjgxMjc3ChQxODI2MDUwNjI1NTY0NTEyNzQ1MwoUMTMxMjE0OTMzODI3MTc4NjQ4MDAKFDE1MjI0OTIxMDczMDEyMjU0MzE3ChM3Mjk1OTk3OTU4MTk1MzM0MDQyChM4OTY5OTI5MDUyMTM2MDI0MzE1ChQxNjA2NTEzMzYwOTQyOTQyOTcxNQoUMTEwNjI3Nzg2NTEzMzU1ODE1MjIKFDEwNzkyOTg2NDcxMTQyMzc0NTM4ChMyNTk2NjI3Nzg5Mzk2MzU3NDc2ChM1Nzk0NjEyMjM2MDY0NzE2MjA0ChMyODM1Mjk2ODk3ODA0MzM2MzMyGhYKFDEyMTc0ODQ5MzE2OTM3MTQwMTQyWhQxMjE3NDg0OTMxNjkzNzE0MDE0Mmq2DxIBMBgAIkUaMQAKKmhoa3hjcmN4cnJxeHF5ZGNoaFVDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQRICABIqEMIPDxoPPxOCA4IEJAGABCsqiwEQARp4gQED_QL7BQD2_gMF_gX-Afr99_P5_f0A7Pj89AL_AQD5-_8FBQAAAAQCCAUCAAAA_AIDBPb-AQAKD_0LBAAAAAz7AAABAAAAEvn-EP4BAAD1_fYD9gIAAAMCCAcAAAAA-gYBBQQBAAD3____AAAAAAHxBw4AAAAAIAAtd1vjOzgTQAlITlACKoQCEAAa8AF0CwQCw_Xv_joA8P8KA-wAgQUL_xYd6ADf8gj_7Pv-APcVBgDHAgz_JQEUAN0KBwDtARD_4OgRAAjsAf_wAQoB-vYTADMKDQEpHhMACRfu_98SAf767A0AA_YU_xAB9QAY6RYACgnjAAsA4AIn8xcBGg4LART7CP4UBvf99QQcAuoA_QAO7_0GFAzoANIL_gLy6fkE-RT4-u0Y7gL8AA0F_v30-vrq8f8rL_oECfMCA_MBBgAU9_r1FOsIBRMY6AHy-P4FFt3__Q39DP0X8wT5MfgUAPT6BPb2Fe74_tgH-f8gAwUI9gD46y76DAT_-wYgAC1uJ0g7OBNACUhhUAIqcxAAGmAiCQD39xrp6uJU2-7E4uL-2hXqBs8p_9QIAAby0-YOE6yS7AD_POYH36YAAAAEEe4kAgDYfSfh_vwJJwUKug8FDn_RQvEG3znU18AWQRisH-QQLFcA8CycKVTYETlHFR0gAC0ivhc7OBNACUhvUAIqrwYQDBqgBgAA0EEAALDBAADIQQAAAAAAABDBAABcQgAAqkIAACRCAABEwgAAYEEAAKhBAACgwQAAJMIAAIA_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-MEAALjBAACAPwAAcMIAALjBAABYwgAAksIAAJRCAAAgQgAAhsIAAODBAAAEQgAAcEEAAGDBAAAkQgAAsEIAAGDBAAAQQgAAGEIAADBBAABwQQAAaMIAAJjBIAA4E0AJSHVQASqPAhAAGoACAAD4vQAAUL0AAPg9AADYPQAAcL0AAJY-AACKPgAA9r4AAEy-AAAwvQAA0r4AAMi9AABQvQAAfD4AAHC9AACovQAAXD4AAIg9AAAUPgAA9j4AAHs_AADIvQAA4LwAAOg9AAAkvgAA-D0AABw-AADYvQAAMD0AAI4-AACYPQAAmr4AACy-AACIvQAAqL0AANi9AABAvAAAVL4AAIq-AABkvgAANL4AANi9AAAsPgAAcL0AACS-AACovQAAdD4AABC9AAD4vQAAED0AADA9AAAQvQAAXD4AAIi9AADovQAA4DwAAH8_AABwvQAAZD4AAHC9AACYvQAAMD0AAIg9AABsviAAOBNACUh8UAEqjwIQARqAAgAAyL0AAHA9AADIvQAAPb8AAAy-AAC4vQAAQDwAAOC8AAA0vgAAiD0AAFA9AAA0vgAAiL0AAGS-AAAwPQAAuL0AAOg9AAAHPwAA4LwAAJI-AACAOwAAuD0AAHA9AAA0vgAAoLwAACy-AAAMvgAAgDsAAJg9AADoPQAA6D0AAOg9AAAEvgAA-L0AAMg9AACIvQAAcD0AAII-AABkvgAAiD0AADw-AACIvQAAZL4AAAw-AAD4vQAADD4AAH-_AAAQPQAAoLwAAFw-AACGPgAAqL0AAFA9AAAkPgAAoDwAADA9AABAvAAAHD4AAKi9AAA0vgAA4DwAAGQ-AAAcPgAAHL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=qWnvhjVZsXc","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["12174849316937140142"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3612950269"},"13294776509135489247":{"videoId":"13294776509135489247","docid":"34-4-15-Z5608775FB2E3DFA2","description":"This video explains the concept of continuity, shows several examples of continuous and non-continuous functions, and explains how these examples are related to the definition of continuity.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/468244/037e9d07022e274eb34f74b02d27a101/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/6KepcAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DYhF01FGJRXU","linkTemplate":"/video/preview/13294776509135489247?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Continuity","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=YhF01FGJRXU\",\"src\":\"serp\",\"rvb\":\"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-Ae_-9vf6_v4A9vUDCQcD_wD9AvkDBgAAAPcECf3_AAAA_PwE-_z-AAD-BwT-BAAAABX5_AD_AAAABgP2Af8BAAD5-f4GA_8AAAn98QsAAAAA7gQM9gAAAAAAAQEDAQAAAPv6AQMAAAAAIAAt1vLeOzgTQAlITlACKoQCEAAa8AFyrzL82-m_AbsD4gGKT9H_gUQE_w4Q7ADG5w__uR3JALTQOgD5Kwb-GM7qAa0nVv4d79v-BbYc_zfKEv8O9uAB5t4cAdwyAgBTHAT_5MPsAPE9-v0J6CIAG63mABFuF_8xDuT8JSW5_ewG1gIU_VEBCfnzAxQQ-wAC6Rj-8d4MB8UZxf0RNiMD7_n1CeUcTAHyBwAF6i3eB_bkzv35ARYKEuQN_BMy6gZZ9fH_HhsN-sHY3_ve__IUDCMWBsD86QXN1g3zz7wN9PbhB_QC9RzxtSDuCnYJ8AcT_f37Eh0bB_bu8-vU9vv34PbqAtfE8vcgAC0-2OE6OBNACUhhUAIqcxAAGmApAwAh6w_87gdS7L_46wzstQ_5FtgA_wDkAPkW4g0DC-TTAgEADvIL37kAAAAeKLwq7wAIYdTy-RHgLO_Zv_4MEX_t_xva4_DyzsgsOwf_-SE5KCUAG-7dFxjZ0EEYM08gAC01HDc7OBNACUhvUAIqrwYQDBqgBgAAAEIAAEDCAAAkQgAAUMEAAKBAAACAQAAAikIAAARCAADgQQAAQEAAAABBAACQwQAA4MAAAIBAAABAwAAADEIAAEBAAABYwgAAwEEAAHDBAADAwAAAuMEAABjCAAC4QQAAwMAAAIbCAADIQQAABMIAAMBAAACmQgAAQMIAAHBBAAB8wgAAsMEAADTCAAAgQgAALEIAAHBCAACwQQAAAMEAAEBBAAAYQgAAcEIAAIC_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-AACiPgAAB78AAIi9AACAOwAAyD0AAIC7AACKPgAAmL0AAAS-AABEPgAALD4AAAw-AABkPgAAMT8AAH8_AABkvgAAcD0AAGw-AACWvgAAyD0AAOC8AABQPQAAgDsAACw-AAB8PgAAwr4AAKi9AACYPQAADD4AACQ-AAAwvQAA0r4AAIa-AAAsPgAAyL0AAFS-AABUPgAAoDwAACS-AACOPgAAyD0AAOa-AABkvgAABL4AABy-AADoPQAAyj4AAHQ-AADgvAAAmD0AAFU_AAAUPgAAiD0AALg9AAAQvQAAyD0AAOi9AACGviAAOBNACUh8UAEqjwIQARqAAgAA-L0AAJg9AAB8vgAATb8AAHC9AACgPAAATD4AABS-AACYvQAAJD4AAFA9AADIvQAAoLwAALi9AAAcPgAAUL0AADA9AAD-PgAABL4AAKI-AADIvQAATD4AAKC8AABQvQAA2L0AAAw-AACYvQAAoLwAADC9AAAQPQAAiD0AAFA9AAAwPQAAPL4AAAS-AABAvAAAMD0AABA9AAAEvgAAJL4AAIA7AACYPQAAyL0AACw-AAD4vQAAMD0AAH-_AABQvQAAMD0AADQ-AAA0PgAAQLwAAMg9AAAsPgAAEL0AAJg9AACgPAAAgLsAAAw-AAAcvgAADD4AAAQ-AABwPQAAmL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=YhF01FGJRXU","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["13294776509135489247"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"134723765"},"12870137839134559089":{"videoId":"12870137839134559089","docid":"34-7-3-Z2A241F00BC8A89BC","description":"This video shows how to approximate instantaneous rates of change - derivatives - using average rates of change by computing the speed of a baseball as it passes over home plate. This video is...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3302546/72dc46d15decd6fc23884ee9600fe191/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/KBVrdQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNweOqLmhM0A","linkTemplate":"/video/preview/12870137839134559089?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Approximating Instantaneous Rates of Change with Average Rates of Change: Part 1","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=NweOqLmhM0A\",\"src\":\"serp\",\"rvb\":\"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-QP_ARICBPr2AQEA7Pj88wL_AQD7DPwG-QEAAPsH-hACAAAABwYDBfr-AQAICgQCBAAAABUOCP72AAAABQH9Bv8BAAD8-QEI-gEAAAz9BAD_AAAA-Q4E8QAAAAD-Cf8DAAAAAP_vA_gAAAAAIAAtzm3eOzgTQAlITlACKoQCEAAa8AFg7goA8__5AOQN5wDfDNAAgQUL_wcX7P_rCgIAAvcOAfIv7wCy9Rv_OQcRAbsNCQAtEPUA4v0YAPED_P_xAf4ABxoXABn0AwH4DgwBDQ3jAfz-Cf_y8OoAAO7_ARMJ-_8V5wP-FRXY_vPr-wDzDw4DCAIGACDqCwEM_wYBAhQLAtwCDv4J2Ob9IBP_-_4MAwLl8xsAB-oB_wAW9gD78PoAGAH-_Q3a5QASFgYEAeAf_e708vkk_wkAEvQPAPQGDvciDAH9FOYNAw7p_Pn7DfUGC-sB_P0X8AHd_QP_9sf1_xk8_vofGAL99foFBQn5Af0gAC1uJ0g7OBNACUhhUAIqcxAAGmD4BgATBgfu6eg06MDUx_wKxxLl8e0F_8jt_xQoB_35-NKs9BMAO_wL8rMAAADt7cUa9QDgZhPMBO3dN97Y1-UWF3_uLxX9G1oP6SQ56gnoHhoQLhMA0i3OJTf16WsvADMgAC3G4yw7OBNACUhvUAIqrwYQDBqgBgAAgD8AAIA_AABYQgAACEIAAAzCAAAAwQAA8EIAAIhBAADAwQAAGMIAAEDBAACAvwAAIEIAAGBBAACEQgAA0MEAAIA_AAD4wQAAPMIAAHjCAAAIQgAAIMIAACjCAACwQgAAPEIAACTCAACKwgAAOMIAAAhCAAA4QgAAIMEAAGDBAADIwQAAaEIAAKBAAACAwAAAIMEAAGBCAABAwgAAdEIAAABBAAAAwQAAuMEAAABAAACIwQAAgMAAAJhBAADgwQAAaEIAAKDAAABgwgAA2MEAABjCAABwwQAAnkIAAAAAAACAwgAAkEEAAADAAAAAwgAAMMEAAPhBAACSwgAAnsIAAMBAAACEwgAAQEEAAKTCAAAcwgAA8MEAAEjCAACAQAAAoMAAAIC_AAA0wgAABMIAACjCAAA4wgAAOEIAAEBAAAAQwgAAQMAAAHBCAACgQAAAwEAAAODAAAAQwQAAMEEAANhBAACQQQAAcEEAAADCAACwQQAAIEEAAOBAAAAQwgAAukIAAMBBAADwQQAAWMIAAKDCAACAwAAA1kIAAHjCAABAwQAAHMIAADDBAAAAwAAAIMEAAIJCAADowQAAqMEAAMBAAAAQQQAAiEEAAABAAAAgQgAAwMAAAIC_AAAQQgAAsEEAAJBBAAAQwQAA2EEAAIhCAABMwgAAlMIAAADCAACAwQAAgMAAAIDAAACAvwAAkMEAACBCAAAUQgAAAAAAABDCAADgwQAA1sIAAFDCAACAQQAAUEIAAGhCAABgQQAAfEIAAMhBAABwwQAA-MEAAADBAAD4QQAAMMIAAABAAADgQAAAgEAAAJBCAABEwgAAAEAAALDBAABYwgAAQEEAALDBAAAUQgAAfMIAABxCAABgQQAAyEEAADxCAAAIQgAAGEIAAEDBAACwwQAAEEEAADzCAAAQQQAAEEEAAPhBAAB0QgAAkMEAAMBCAADoQQAAHEIAANjBAAC6wgAAFEIAALhBAADIwQAAyMEAANhBAABEwgAAfEIAAJzCAACIQQAAhkIAAIDBAADAwQAA0EEAALjBAAAQwQAAqsIAAEDAIAA4E0AJSHVQASqPAhAAGoACAADIvQAAJD4AAJg9AAD4vQAAPL4AAJg9AABwPQAARb8AAEC8AABAPAAABL4AAKA8AACSvgAABD4AAFC9AABEvgAAND4AAMi9AABQvQAAFT8AAH8_AADIPQAAyL0AAKI-AADIvQAAiD0AAIC7AACavgAAVD4AAJY-AACYPQAANL4AAEC8AAAQvQAAoLwAAHC9AAD4PQAAQLwAACy-AADCvgAAnr4AACw-AABUPgAABL4AAKC8AACYPQAAlj4AAGy-AADIvQAALL4AAJg9AAAQvQAAJD4AAEC8AABEvgAAUL0AAH8_AAAwvQAAcD0AAII-AADgPAAAgj4AAEQ-AAD4PSAAOBNACUh8UAEqjwIQARqAAgAAqL0AAKC8AABAvAAAMb8AADC9AADYvQAAoDwAADS-AADYvQAAQLwAAHC9AABcvgAA2L0AAIK-AABMPgAAmL0AAPg9AAAPPwAAuL0AAJY-AACIPQAA4DwAAMi9AACgPAAA4DwAAKC8AADYvQAAoLwAAIg9AAAcPgAAcD0AAOg9AACgvAAAJL4AABA9AAAcPgAA4LwAAMg9AABEvgAAUD0AAFA9AACYPQAA4LwAAMg9AADIvQAA4LwAAH-_AABAPAAAUL0AAEC8AAAQPQAADL4AABA9AABwPQAAiL0AAIg9AADgPAAAND4AADS-AACAuwAAgDsAABQ-AABcPgAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=NweOqLmhM0A","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["12870137839134559089"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"344688630"},"2563493859544381896":{"videoId":"2563493859544381896","docid":"34-6-12-Z50DFA0D103EC30D7","description":"This video explains how to use the limit definition of derivative to compute the derivative of √x This video is part of the Calculus Videos Project For more videos and resources to support...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2101071/e26c0f39f57ff9f9e61d5f3c8fb2a1ea/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/FbBDcgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DOnqQGW7J89E","linkTemplate":"/video/preview/2563493859544381896?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Using the Limit Definition of Derivative","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=OnqQGW7J89E\",\"src\":\"serp\",\"rvb\":\"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_gAAAf8A8PoSBgYE_gED-A0B-f79AOUP_PgI_QEA6PkDBwn_AADzBwIH9gAAAP_x__j3_QEAAwMEAvwAAAAO9OwB_gAAABIGAA3-AQAA_f4F8wIAAAAABPr-_wAAAPcCBvX__wAA-AABEgAAAAD--P4LAAAAACAALfSY0Ds4E0AJSE5QAiqEAhAAGvABf_cP__bz5QHZEtwAvB4dAIsWDf_yEs0AlRL4AcYY1ADtPQf_5RXR_hMF-gC1Lh4BJ-rW_woJ_wAFugj_JQX8AfL86gEV2RoBXvA3AwX17wDaDQv94O_9AfbYz_4hMOH-_uIrAMsGuP8L6bQJEP5CAScSPQAvAg3-9rn0A9MK9gIE7_f68hb6B_3qL_vE_iEBBu_s_w0sB_nvC-kEN_Hx_QQLEfsXDOEEEdzrDekU_gK_-wMB5f_0ECzbHwO_BPb65OAf_wEjBe8sDBIKGgoF-_QA6QP83_IKEgoJ_urkAPwaAvcD1Sr9BMr86w0B9vL9IAAtTvwLOzgTQAlIYVACKnMQABpgU_AANAUF1xXrIeX51uAZ29HyAAStHv_43ADRD8ERCiTc2evdADHSEAKnAAAAKCTq_tkA_XrTxNUmDCHq4I7oGwl_HhUK3Nko-ZbJBxce3gItLC9AANbzsDQw6ZMr9SYgIAAtUncYOzgTQAlIb1ACKq8GEAwaoAYAADBCAACYwQAA6kIAAJLCAABgQQAAwEAAAEhCAAA4QgAAEMIAAIC_AADYQQAAuEEAAOjBAABQQQAAXMIAAOBBAAAEQgAAIMIAAJBBAABYQgAANEIAAPBBAADIwgAA-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-AABcPgAADL4AAPi9AACuPgAAhj4AAOq-AAD6vgAAyD0AAIi9AAB0vgAAiD0AAAw-AADIPQAAoLwAADA9AADgvAAAuD0AALo-AAB_PwAAHD4AAEC8AACWPgAAhr4AAKg9AABAPAAAVL4AADC9AAC6PgAALD4AAGy-AADIvQAAur4AAEQ-AAAEvgAAmD0AALK-AABEvgAA6D0AAK6-AACWvgAAPD4AAGy-AADgvAAAMD0AAKi9AADqvgAANL4AAL6-AADgvAAAyL0AAFA9AAAQPQAAMD0AAOC8AABPPwAAiL0AAHw-AAAXPwAAiD0AAJi9AADoPQAAmD0gADgTQAlIfFABKo8CEAEagAIAAIK-AAAQPQAAFL4AAFW_AACIvQAAND4AAEQ-AABwPQAA4LwAAHw-AAAQvQAA-D0AAKi9AAAMPgAAgLsAAKi9AAAEvgAADz8AAIA7AAD2PgAAmL0AABS-AAAMPgAABL4AALi9AAAUvgAAqL0AAIC7AABEPgAAoDwAAFC9AABQPQAAQLwAADS-AAAQPQAANL4AABQ-AACIPQAAEL0AABA9AABQPQAAML0AAOC8AACgPAAAUD0AAKg9AAB_vwAAFD4AAGw-AAC2PgAABD4AAEA8AAD4PQAAuj4AAOi9AAD4PQAA4LwAAIK-AABMPgAA6L0AAEQ-AABAPAAAgDsAAFC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=OnqQGW7J89E","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["2563493859544381896"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3914901904"},"9297799314078406077":{"videoId":"9297799314078406077","docid":"34-6-9-Z1E154992EBA8FE34","description":"← Previous...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3675750/1e580ce8163799a9aaa0dff923b50997/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/bbqQgwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dj5SvtRvDutA","linkTemplate":"/video/preview/9297799314078406077?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Slopes of Secants and Tangents Video 1","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=j5SvtRvDutA\",\"src\":\"serp\",\"rvb\":\"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-v0C-wUAC_0FA_oG_gHu-_r--wD_AO0C_AQAAAAA9gYFAQEAAAAFDP8FAwAAAPwCAwT2_gEADQD9A_sAAAAH__76_gAAABL5_hD-AQAA9f32A_YCAAAIBAIKAAAAAO0CBgICAP8A-wH8BAAAAAAB8QcOAAAAACAALVlC4js4E0AJSE5QAiqEAhAAGvABagMHAbbxBPwiCvQA_vvgAIEFC_8mLOn_5On-APH_5AD3FQYA1v4NAR0NAwDbCx0A8fn-APTmDf8L4fgA8w0DAAj1FAA3_gYALiQA__oS3P7o_Q7_DPAA_wP2FP8dAPEBGOkWAPsB1v8FB_oCG_wiAR0N-v8AAfsDC__8A__-BQTqDPcEDu_9Bhb86v_aGAIF8fcAAwkfBfsJB_MF-OcBBQwC_P4H-u8DMygHBAb5EwfqAv8DBPjz_P3oAAYTGOgB-_wBDwDqCQYbAQIBEeoW-x7zEAHrBvzz8yb1AgzOFPsDD_YIEPYC8Osu-gwE__sGIAAtbidIOzgTQAlIYVACKnMQABpgHx0ADAYZ-fLnK_UB4OHp9woLAvn5FQDn8QABBOT5DQfOyf39ACPuAPPPAAAABg4MJfIA3z8b4_z2-zAD_8oAABJ_8iH9-d8o6vjnECn-8gX6-hsWAO4T0iQS6QQkGAQYIAAtNZl7OzgTQAlIb1ACKo8CEAAagAIAADC9AABAvAAAyD0AAKg9AAA0vgAAjj4AACw-AADWvgAARL4AAOC8AABsvgAAUL0AACS-AABsPgAAML0AALi9AAC4PQAAiD0AADA9AADyPgAAfz8AABA9AAA0vgAALD4AAHS-AAAQvQAAQDwAAAS-AAAEPgAApj4AAOA8AACivgAAbL4AABC9AACAOwAAUL0AALg9AAA8vgAAfL4AAIa-AAAsvgAAdL4AAHQ-AADgvAAATL4AAPi9AADYPQAA4DwAAEA8AAC4vQAAiD0AADA9AABUPgAAUD0AADy-AABAPAAAcz8AABC9AABsPgAA4DwAAKC8AAAwPQAAHD4AALi9IAA4E0AJSHxQASqPAhABGoACAABQvQAA4LwAAKi9AAA3vwAAHL4AAOC8AAAwvQAA4DwAAI6-AABEPgAA4DwAAFS-AABwPQAATL4AABA9AACYvQAAXD4AABM_AABwPQAAkj4AAJi9AABcPgAAuD0AAAy-AACgvAAAEL0AAOC8AACgPAAAqD0AAJg9AADYPQAAmD0AAKi9AAC4vQAAgDsAAIi9AAAMPgAAmj4AAEy-AACYvQAAFD4AAIg9AAB0vgAAiD0AADy-AAAUPgAAf78AAFC9AAAMvgAAZD4AAHQ-AACIvQAA2D0AAFQ-AAAQvQAA4DwAAIA7AABEPgAAmL0AAES-AACIPQAAZD4AAIg9AABMviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=j5SvtRvDutA","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["9297799314078406077"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3866022089"},"2616258273166857162":{"videoId":"2616258273166857162","docid":"34-3-12-ZD18D895D068801CC","description":"This video shows how to improve the approximations of instantaneous rates of change - derivatives - using average rates of change. This video is part of the Calculus Videos Project For more...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2732249/fa4b05a8320e599f98492ac8323dd1e5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/wTDLbQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dn6uzXkBxOQ8","linkTemplate":"/video/preview/2616258273166857162?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Approximating Instantaneous Rates of Change with Average Rates of Change: Part 2","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=n6uzXkBxOQ8\",\"src\":\"serp\",\"rvb\":\"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-_AQA9AQFAfkD_wEVBgUC9gICAOz4_PMC_wEA-wz8BvkBAAD7B_oQAgAAAP4FBgf-_gEACwz7AQUAAAAVDgj-9gAAAAUB_Qb_AQAA-P0JAfUCAAEM_QQA_wAAAPkOBPEAAAAA_gn_AwAAAAD_8AcBAAAAACAALc5t3js4E0AJSE5QAiqEAhAAGvABZ_HsAr8KA_0xC_YA-uP0AYEFC_8WHegAzgT9APMR_QAAC-gAz-wM_yYDAQHZ-g0AD-sFAAcLCQALCgj_5P78ABgLDgA25_MBGA4jAeQP6v8M_g3__ewBAAj4-_8QAfUALu79__X96vwOEPkCCfcZ_xYKFQH37Aj__g8IAvIOAQTjEQMBBuYBASgB-vz8Af4G4egGARYkEQAJB_MF9PrrByHk7P7yDfQCEhYGBO7kGP7qAvIFEf8A_CLn9AUJJ_gA_u8G9xTmDQMX7RD2Ge_-DPwGFwHm-QL49QzkAgTKAf_7Kgj1Du4DAN8I_g7z7gP5IAAtbidIOzgTQAlIYVACKnMQABpgFBMAFyUR4ffwLvHM48nv_-cT7f77-__e5gASMwbsBfjUpwEUAEH7-QS8AAAA9_LZNgAA3Fj00vcA7zTY99ECCgl_7yYj8_dO-vYFI-7r3h4GESMTAAIEzTY59-pcL_omIAAtFlI_OzgTQAlIb1ACKq8GEAwaoAYAAJ5CAACQwQAAEEEAACDBAACUQgAAeEIAANZCAACAvwAAwMAAADBBAABkwgAA0EEAAILCAAAAQQAAmEEAABhCAAAoQgAAnMIAAMDAAABwwgAAEEIAAIBBAABQwQAAcEEAAABBAADQwQAAoMEAAOLCAACAwQAA0EEAAOjBAAAAQQAAUMIAAERCAADIwQAAGMIAAOhBAABoQgAA8EEAAGBCAADwQQAAFMIAAKhBAAAgwQAACEIAAIDCAAA0wgAAIEIAAHBBAAAAwAAAtMIAAIA_AACAvwAALEIAANBBAACAQAAAtMIAAIA_AAAgQQAAQEEAAGRCAABAwgAA4MAAAJTCAABgQgAA4MAAAGxCAADewgAAoEAAAODAAABkQgAAQMAAAKbCAACQQgAAQMAAAFDCAADGwgAAkMEAAHBCAAAgQQAAyEEAADRCAACgwAAA4MEAACzCAABAQQAA4MAAALBBAACIQQAADMIAANjBAABMQgAAMEIAAPBBAAAAAAAAbMIAAIA_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-AAC4PQAAyL0AAEy-AACoPQAAcD0AAEu_AACgvAAAED0AAIC7AACgPAAAhr4AABw-AAAwvQAAhr4AAFQ-AACovQAAgLsAAB8_AAB_PwAAED0AAPi9AACWPgAAuL0AALg9AACIvQAAsr4AAJ4-AACmPgAAqD0AAES-AABAPAAAQLwAAOA8AABwvQAAcD0AAKA8AAA0vgAAmr4AAKK-AABMPgAADD4AAAy-AACgPAAAuD0AALY-AAB0vgAA4LwAAOi9AABQPQAAgDsAAEQ-AACAuwAAHL4AABC9AAB1PwAAgLsAAJg9AABUPgAAEL0AADQ-AAA8PgAAXD4gADgTQAlIfFABKo8CEAEagAIAADC9AABQvQAAoLwAADG_AAC4vQAA2L0AAOA8AAA8vgAA2L0AAIA7AACIvQAAZL4AAIi9AABsvgAARD4AAJi9AAD4PQAACT8AAOi9AACWPgAAuD0AAOA8AADIvQAAgDsAAKA8AACAuwAAyL0AAEC8AABwPQAAJD4AAHA9AAAEPgAAEL0AAEy-AACAuwAARD4AAEC8AAD4PQAALL4AAEA8AACIPQAAmD0AABC9AADIPQAAqL0AAEC8AAB_vwAAgDsAAHC9AADgvAAA4DwAAPi9AAAQPQAAmD0AAMi9AACYPQAA4DwAAFQ-AAAsvgAAQLwAAKA8AAAUPgAAVD4AAKC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=n6uzXkBxOQ8","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["2616258273166857162"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"970839405"},"2858228183436681277":{"videoId":"2858228183436681277","docid":"34-10-1-Z77FF64984556BDB7","description":"","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1674165/eec63e2d7d54e06da09cf03394b3fe73/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/2d0OQQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dj_GHJV7TKPo","linkTemplate":"/video/preview/2858228183436681277?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Limit Definition of Derivative","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=j_GHJV7TKPo\",\"src\":\"serp\",\"rvb\":\"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_BAABBPsA8f0K_g4D_gHs-QMO-wAAAOIC7_YD_AIA2f77BQD-_wDyBwIH9gAAAPX4__7y_gEABAMEA_sAAAAQ8_gEAwAAABIGAQ7-AQAA-wAD_QP_AAAABPr-_wAAAPYCB_X__wAA-AABEwAAAAAI-v4LAAAAACAALZpcxjs4E0AJSE5QAiqEAhAAGvABfw0EAr317v4o6-0A6An2AIv-5wAsENEAo-j3ArkQ1P_3_foA5Ab8AAoGEv_JAxMA8ALh_vH7JQAXCBAANw0oAP4TJQAtAA8BGAUXAfz8___gMOj_JQ0q_-zz8gEC9AYAGfMP_er84AMXEtUBCfYb_xINBQEi6AwBDfACAPwJAATzEN3-HQ32BPUF5AHfFRoBGRPpA_0d5Pv1Bv0D__QXAwbyE_gQ9-QAHjDzAPb9BAEAAQT9_Qbr9P36Ewn6EuH97_EIAAMA_An-BO8II-8GBQb-Dv4EEQn5-wH5AwP6EvrTBAz1__IB_vMmAAn_4_kJIAAtdZM3OzgTQAlIYVACKnMQABpgWfgAMgL8zhXiTNjo39cU6-j0JfO-IP__zgDhH77tBhLowwLZ_yvDCxaoAAAAJBbuI-oA4XnA0NQXABP_6JsJCR5_NCYH4dYV3ZLK8hwW1wcmMBtKAMznrCI08MMbLhf4IAAt_uEZOzgTQAlIb1ACKq8GEAwaoAYAADBBAADQwQAA0EEAABBBAACgwAAAOEIAALRCAAD4QQAAPMIAACRCAACQQQAAZMIAABDBAACYwQAAAMEAAKhBAABQwQAAwMEAAEDAAABAwgAAgEAAAKBAAAAswgAAQMAAAADCAABAwQAA2MEAACzCAACiQgAAAEEAAODBAAAUQgAAHMIAAEDAAACWwgAAAEEAAHBCAADmQgAAgEAAAOhBAABQQQAA-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-MEAAKjCAADgwAAAAMEAAEDAAABMQgAAgD8AALhBAAAQwQAAYMEAAFDCAACIQgAA4EEAABTCAABoQgAAQEIAAGxCAACYQQAAAEAAANjBAAAkwgAAAEAAADhCAACQwQAAXEIAALDBAAD4wgAAWMIAAABBAACAQAAAmEIAAIhBAAAwwQAASMIAALhBAAAwwQAAaMIAAEDBAABAwQAA8EEAAKDAAADgQAAA2MEAABzCAADAQAAAhMIAAHjCAACIQgAAJEIAAFTCAADwwQAADEIAADDCAAAwwQAAGEIAACxCAACAvwAAiEEAAFBCAABQQQAAQMAAAOjBAACIwSAAOBNACUh1UAEqjwIQABqAAgAAXL4AAFS-AAAEPgAADL4AANi9AACqPgAAyD0AAOa-AADivgAAyD0AAFA9AABkvgAAQDwAAEw-AACgPAAAFL4AAOC8AADYvQAAUD0AAKY-AAB_PwAAmD0AAIg9AACOPgAAlr4AABA9AACAuwAA6L0AAKC8AACWPgAAZD4AAES-AABUvgAAnr4AAEQ-AAA0vgAAyD0AAIa-AACWvgAAMD0AAKK-AAC-vgAAuj4AAIK-AAC4vQAAED0AALg9AAC-vgAAUL0AALa-AABUvgAATL4AAKg9AACYPQAAgLsAAKC8AAA_PwAAgLsAAEw-AAAVPwAAQLwAAOC8AAAcPgAALD4gADgTQAlIfFABKo8CEAEagAIAAFy-AAAwPQAALL4AAFe_AAAMvgAAJD4AABw-AACoPQAAQLwAAHQ-AABQvQAAcD0AAOC8AAD4PQAA4LwAAKi9AABAvAAACT8AALg9AAAJPwAAuL0AAKi9AAAUPgAAVL4AAIi9AAAMvgAA4DwAADC9AAA8PgAAED0AAHC9AADgPAAAED0AAAS-AACAuwAAVL4AAEC8AADoPQAAgDsAAHA9AADIPQAAMD0AADA9AABAvAAAmL0AABQ-AAB_vwAABD4AAAw-AADKPgAA-D0AAIg9AAAUPgAAvj4AALi9AACoPQAAoLwAADS-AAAMPgAAfL4AAAQ-AABAvAAA4LwAAIi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=j_GHJV7TKPo","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["2858228183436681277"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2747048207"},"18260506255645127453":{"videoId":"18260506255645127453","docid":"34-4-5-Z4C4C3FEBE3B0EBF9","description":"In preparation for understanding the second fundamental theorem of calculus, this video uses the scenario of a flying platypus to explain what accumulation functions are. This video is part of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4332919/1d0f8da8f603e45cf25f9b1c02261419/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Pem17wAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DctkhuNyODTQ","linkTemplate":"/video/preview/18260506255645127453?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Second Fundamental Theorem of Calculus, Part 1: Accumulation Functions","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ctkhuNyODTQ\",\"src\":\"serp\",\"rvb\":\"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-wD4_vkEDgX9AQ_8-QEK_v4A-gf_8wIE_gDrBAnxAAAAAPkRBP4HAAAA9gD0Avr_AAAY9O8AAQAAABDrCQb6AAAABBD7BAsAAQHxCAIPBP8AABEG-BD_AAAA9wsH-vr_AAD-CQMMAAAAAAb-DA4AAAAAIAAt_JnHOzgTQAlITlACKoQCEAAa8AF45A39yjXEAdocqAHHFa0AivQz_gs-7QCv-ioA6AftATrp-gGvCgQBRBPsAMAsGQARAAn_OQQ9AGesDP8pBeQBDb4bASvrBgELMTgA-vr-_90G4wD23RYA88_F_jZJ8P0H5PgDFif-AyQV3gBf-DcAAO_iA-sN-PeBxQAD7zUdBfT51AAGHxIFH8wf_-IJMALxA-z6GVsF_QPh6gTU6gcLKQgY_N_Z6v8Qxu0BHM3698ag__632v_9590N97EF9Pjf6x_21QEkBRj0BOgYvvvxBBwECe7vEQrt3wT8JgT48fn89QHM_vMH6loWCSLS8BUgAC3OSec6OBNACUhhUAIqcxAAGmAn_AAxNSjh4Ood0_Tl8wPSxT7o9tv__-__APUr3BsMCsW19gL_JushD7YAAAAFEAAc1QDbYQsUxAj7N_L16dAYIH__KfPU8wH76c_kOR3t7gjS5SkA7AHPGzDQszMOUxggAC1XFzM7OBNACUhvUAIqrwYQDBqgBgAAqEEAADBBAABwQQAAcEEAACRCAADAwAAAvkIAAHDBAACwQQAA2MEAAMhBAAAgQQAAIMEAADDCAAAAwgAAwEEAAAAAAAAIwgAAgEAAANBBAAA8QgAAAEEAAIC_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-AADIPQAABb8AAFS-AACgPAAAgDsAANi9AAAMPgAAuj4AAFy-AAAQPQAAjj4AADC9AACgPAAA2j4AAH8_AABEvgAAoDwAADw-AAB0vgAAoj4AAJg9AAAEvgAAqD0AABA9AADoPQAABL4AADS-AAAwPQAAbD4AAHS-AADYvQAAkr4AAIa-AACovQAAkr4AAKg9AADePgAAQDwAACy-AACoPQAAUD0AAIa-AAAcvgAAuL0AAFC9AABAPAAAnj4AADw-AADovQAAUL0AADE_AADIPQAAyD0AAAw-AAAEPgAA-D0AAOA8AAB0viAAOBNACUh8UAEqjwIQARqAAgAAcL0AAEA8AACAOwAAK78AAAy-AAC4PQAAsj4AAKi9AADovQAAmD0AAMg9AABUvgAAdD4AAGy-AAAEPgAAML0AABQ-AAANPwAA4DwAAFw-AADgPAAAHD4AAKg9AADgvAAAoDwAADy-AACAOwAAmD0AAEA8AADYvQAAiD0AAAQ-AACevgAAir4AAFC9AAAwvQAAFD4AAJ4-AACivgAA2L0AAEA8AABwPQAAgDsAANg9AACOPgAAQDwAAH-_AABQPQAAND4AAEw-AACePgAAoDwAAKC8AADIPQAA4DwAALg9AACgvAAAFD4AAHC9AACIvQAAdD4AACQ-AAA0PgAAZL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ctkhuNyODTQ","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["18260506255645127453"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"86025692"},"13121493382717864800":{"videoId":"13121493382717864800","docid":"34-5-6-ZFE885A0FBE1E80D9","description":"This video explains what the second fundamental theorem of calculus is and how you can use it to construct antiderivatives. This video is part of the Calculus Videos Project For more videos and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3447160/16060dc6973a0b57a82ffc53be33acf7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Sc4m7QAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D9wL-DiOLxLw","linkTemplate":"/video/preview/13121493382717864800?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Second Fundamental Theorem of Calculus, Part 2: Understanding the Theorem","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9wL-DiOLxLw\",\"src\":\"serp\",\"rvb\":\"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-wf_AgD2-QYJDgb8Ae36-f77AP8A-gb_9AIE_gDxCgL7-QAAAPoQBP4GAAAA_gnvAvf-AAAS__AHAgAAABHp_Ab_AAAABgP2Af8BAAAEAv4FA_8AAAUC_QQAAAAA9QcIA___AAAEBRIGAAAAAAX-Cw0AAAAAIAAtI3_YOzgTQAlITlACKoQCEAAa8AFs-A3_7ALhAdEC6wHLC_r_gQAC__0u1wDC6_QAyDDeAOnnDQDYFwIAGgggAacnHgAP4dMAAuoVADboFwAgBPwB_RYpACUBCwE2ESn_7PX7_9QrAv4R4BoA_sziAA41-v0M-QP76PzdAxoU0AEJ2TgC_xkUBSPvAAHx6gsB4_EHBQIP5_7_HhL6BvUG--T2KwcCCPgGAy77AdkW3AAA-PoH_vEF9hQK5gMcD-sEDBEAA93gBAHqBuv-_PoWCugR4wfu4Af3AOkK-fjYDggB-RP14xsWBgkO7vkDDPQD4QsF_fH0-_3X_-_36RL9A_rW8wEgAC2_TyQ7OBNACUhhUAIqcxAAGmApAQArGQ_U6dES2te61gq53CoX-vTM__7dAOM0zRsACL-y2Rr_FsUW4KgAAAAcHO0v5wDlc-Dg6hv1M-vyx_QcJH_4MA_F9_bw44YXMfbPDhXT5C0A8BGwIkfp1DUVPksgAC3cIxw7OBNACUhvUAIqrwYQDBqgBgAAAEEAAFTCAAAoQgAAMMEAAKBBAABwQgAAxkIAAOBAAACAQAAAwMAAAMBAAACQwQAAQMAAAOBAAABwwQAAgEEAABDBAABAwQAAHEIAAEBAAAAgwQAAYMEAABDCAABQQQAA6MEAAABBAADIQQAADMIAABBBAACQQQAAGMIAAHBCAAAEwgAAEMEAAM7CAACwQQAAIEIAADxCAAAQwgAAEMIAADRCAAAQwgAAQMEAAKjBAABAQgAAVMIAABjCAADYQQAAEMEAAIA_AADwwQAAJMIAAADCAADAwQAA-EEAAHBBAABwwgAAwMAAAIhBAAAoQgAAikIAAJjCAAC4wQAAaMIAACBBAADwwgAAcMIAAEDCAADQQQAAvMIAAGxCAAAAwgAA6MIAACBBAABMwgAAmMEAADBBAABgQQAAEEEAAARCAACQwgAAkEIAAADBAAAQQgAAmkIAAEDAAAAYQgAAiMEAAABAAAAQwQAAaMIAAHhCAAAwwgAAOEIAABBBAACAwQAAUMEAAEDCAABgQgAABEIAAJTCAAA8wgAAGEIAAABBAAAwwQAAikIAADRCAADgwAAA8EEAAJpCAACMQgAAEEIAALjBAAD4QQAAQEAAAKDBAADoQQAAuEEAAGjCAAC4wQAAuEEAACTCAACwwQAA0EEAAMDBAACwQQAASEIAAEBAAACgwQAAZEIAACDBAACgwgAAgL8AAPBBAACgQQAAgEEAADRCAACAwQAAwMIAAMjBAADAQAAA-MEAAIRCAACIwQAAwEAAAHDBAACQwQAAEMIAAEDBAAAgQQAAHMIAABRCAAAUQgAAJEIAAJBBAACgwAAAIMIAACTCAAAMwgAAiEEAADTCAAAEQgAAEMIAAGDCAADowQAAuEEAAJjBAAB4QgAAYEIAAFBBAACIwgAAoEEAADBCAACQwgAAhMIAAODBAAAQQgAAEEEAAJhBAABAQAAAZMIAABDCAAAwwgAAEMIAAGRCAACwQQAAfMIAAJjBAADoQQAAuMEAAIA_AAAkQgAAKEIAAKDAAAAAAAAATEIAAChCAADAwAAAgMAAANDBIAA4E0AJSHVQASqPAhAAGoACAAC4vQAA4LwAAOg9AAAwPQAAJL4AAGw-AABQvQAAG78AAJK-AACAOwAA2D0AAKC8AAC4PQAAuj4AABy-AACCvgAArj4AAIi9AADoPQAADz8AAH8_AAAkvgAAiD0AABw-AAA8vgAAlj4AAPi9AACmvgAAfD4AADQ-AADIPQAANL4AAKi9AAAsPgAALD4AAOi9AACavgAAPL4AAFS-AABwvQAApr4AADQ-AACuPgAA2L0AACy-AADgPAAAyD0AAJq-AAAEvgAA2L0AAFS-AABAvAAAyj4AAAw-AACCvgAAmL0AAD0_AABkPgAAuL0AAJg9AAAwvQAAgLsAAIg9AABwvSAAOBNACUh8UAEqjwIQARqAAgAAHL4AAFA9AACIPQAAQb8AADy-AABwPQAAoj4AAFC9AADgPAAAMD0AAKg9AABUvgAARD4AACy-AAD4PQAA4LwAADQ-AAAJPwAA4DwAAJI-AACgvAAAuD0AABA9AADYvQAA4DwAADC9AAAwPQAAuD0AABC9AABQvQAA4DwAAAw-AAAkvgAAlr4AAKC8AADgvAAA6D0AAKY-AAB0vgAAML0AAEA8AACYvQAAQDwAAOg9AAAMPgAAUL0AAH-_AABwPQAAoLwAAJo-AACSPgAAMD0AAIC7AADoPQAAQDwAAKg9AADgvAAADD4AAKA8AADYvQAAij4AADA9AAAsPgAAUL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=9wL-DiOLxLw","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["13121493382717864800"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"262104190"},"15224921073012254317":{"videoId":"15224921073012254317","docid":"34-3-7-Z9A1F3B8D25A89DD0","description":"Two students attempt to compute a derivative using the limit definition. Their problem-solving and thinking illuminates ideas about the limit definition of derivative. This video is part of the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4313325/3d356fcedded05b2ea5a706065270c95/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/AMFn_wAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DSpJAyeUDqRA","linkTemplate":"/video/preview/15224921073012254317?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Using the Limit Definition of Derivative: Student Problem Solving","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=SpJAyeUDqRA\",\"src\":\"serp\",\"rvb\":\"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-AD0-AcKEAb7ARoBDwr1AgIA5gH3-vj-AQDx-QgCBAAAAPMQAQsDAAAA9fH9Cvb_AQAEB_oI-AAAABz19An9AAAAEwYBDv4BAAD_AAEC-gIAAQ30-___AAAA7gUF_P7_AADxEvEJAAAAAAIC-w8AAAAAIAAtWhjBOzgTQAlITlACKoQCEAAa8AF66Q0A2Ovl_-zm-QDWJOQBgSIK_hwk4gCv-xoBrRLN_-_16ADi6vQAI-0F_9Ar_v8R6OwAHc0HARjm7P8eBOsBEggHAQ7cJwE1JhgAFevv_ucVBv4E6vQA_crgAAIW6QMNESD_2OXPAf351v377SwB-QEkBQ4L_QADxhEAB_nsAM0A3f0LAPYJ2uoI-Mr-HQHx8vP--igI-_Xl7AUA4-j3GuT__SQdAQAW-AcI-e4OBdPu-PgW_wD7AhcGDugLEgToGCD-1_sJ9xgMCgcx0_AG6en5ARnU-BEJBwMN7OcA_ffdDvjEC_oG3AMNCe_2-P8gAC3_IR07OBNACUhhUAIqzwcQABrABx-8zr6xEpg7Ru3AO05j-7036Qy9d-nwvMjNAL4Kvqe7-I4VPczSTj3o6Cc8k-V_vDhpir7RDD087a59PEC9OT7iG6o5DKXYuXoXL74IPDA9KZ_UvOC7bb5eipY9FrlMvIxpRj4SNyK9H4EDvNaiLz1UPfS82qQqu19lSDzQnWA885hcvFqlD71qgDe9vpuTPAXD-T0xi1q9C4gfPZituz3ZGyE82bzgPD9PizvqktA7RU2PPNYsIT030mO8AXEyO-qv9z0xslE6yE0DPZYa6zuqmbW7HyyEu1ZQjL3QwQm9WhSRvPdJJL20PoA8UNMdvWKTqTtxKsi9yGqpvPmgB770Gps9L4GAO91gOD4pplw94xs-OiLKEr1kxgA7-1ksPKwDQL1Tvpa84Nz6PA5O5D1a-gu9K3ZqOyvKOz2BtrC80KJSvG62I735WHA9CRLAPMeLOz3gle48tIC_vITx07wO2SC9z_OnvN-Izr2SGTm8tqFPuhH29zyfTK28WQ-EPKKZJz1g-268Z87dO5SJ2z3Y74m9GRT2OlxNqLy5clG9b1azvKHGgz1chsm8x9slvLQgBD4YCAK92CA3uky6V71R54C8-TIsvF3-njuAthW-XYNGu-zJgr3eKCg9ocA3OyhCLz3Wn6s6gE3Ou5Smfzt22v88d4i9O_NxbbyUzrC7KTuiO2IbpzzTcAU94BZJukwRmj1IfWM9OoVeudWVDz7U7Ea95UcZuUik7Tx_jT-9EqROu4h6izx0Yqy60A5tuixN57pY-Qq9oUNjOhxidz3nrmO71hS0uXkB2zxDyPk9CuouuBXXgj2JTVq9OeuTOKaX-L3zq6m9qjR1OEMIg71DlqC8X6cBuhStAT0EwJ08KvCjuAYkRr3DV7W9CMhdN-tLgL1AB6c8W8RGuQcM0j1fac-81d_VtCrVdLxW7b88sx9xNyhak70Lcfa8biauOQ_Rqrtvngo-oKIZub6eFD1Iccy7-L-dud3zVz3HV1E9B3ofN5iZ47qdZgO8L_AStkjWqzwbEKE9EflvN9PPCDxmMdG9PkuXNq0vFz1bRJQ8vwYduSq-y72osj6950aVN96IuDzCbjO97Zyvt4aqeD21IgC92i8DOIUPgLzP4Cq9-0wXuJlK3z2Ac9A8VLi-uOwJ3LzhKV-9xKVjuHzs0zyh8i-9id5qOJdRkb2Hch09UziLth2XDD1JD0O-VDFNucr0cD0i4Ss-8cuKOOtc7LyqpKQ9AYvEuHY25LzWkgk9q3wRuNjrAr0qozY9mPJtNCAAOBNACUhtUAEqcxAAGmBB9gA37_nWGrkg1PHi9BfUzd3w_rcm_xLY__IUyPX_HcPJ7N0AXtT2B6QAAAAqDOPp_gAef8vv-yb6DtvWsMYQ_mMu9BKs2xsKpeYT_yHFCBf2L0gA2OmtQTjvhBj74AAgAC1e3Bc7OBNACUhvUAIqrwYQDBqgBgAAYEIAAADAAACyQgAA4MEAAABAAABIQgAAmEIAAKDAAABAwgAABMIAADBBAACgQQAAoEAAAIBAAAB0QgAAkEEAAMBBAACQwgAAPEIAANDBAACgwAAAgMAAACzCAACEQgAA6MEAAEBAAABcwgAASMIAAFRCAACIQQAAgD8AAHBBAACAwQAAcEEAANLCAAAAAAAAuEEAAIBCAAA4wgAAGMIAAABAAAAQQgAAYEIAAJjBAACqQgAA8MEAAIDBAAAkQgAAZEIAAABCAAAAwgAAQEAAAEjCAABQQgAAAMAAAIA_AABkwgAAgEEAAIDAAADwQQAAYEEAAEDCAACcwgAAksIAAOBAAABAwgAA4EAAAJbCAAAQwgAAAMEAAKhCAAAIQgAAmMEAAMBBAAAgQgAA1sIAAIzCAACYQQAAqMEAAAAAAACGwgAAEEIAABDBAABAwgAAAEIAAGBCAAD4wQAABMIAABBCAADgwQAA2EEAAAxCAACIQQAAYMEAAMDAAABowgAAAEEAAIA_AABAQgAA4EAAAJjCAAAcQgAAKEIAABDCAAA8wgAAQEAAAMhBAADYQQAAfMIAAGRCAADgQQAAgEIAAADBAACoQQAAgD8AAAhCAABQwQAACMIAAJLCAADMwgAAPMIAAIDAAAAowgAAsEEAAEBBAACAwQAAkEEAABDCAAAAAAAAgMAAAMBAAADywgAAgL8AAJhBAAAMwgAAcEEAAIhBAADgwQAA8MEAAIbCAACAQAAAgEAAAGBBAADowQAA4EEAAABCAAAMwgAAwMEAAOBAAAC4wQAARMIAAJhBAACIwQAAgL8AAKDBAACewgAAcMIAABxCAAA8wgAAgkIAAEDBAABcQgAAuMEAAEBAAADAwAAA2EEAAABAAABYQgAA4EEAAJLCAABswgAA8EEAAMBAAAAIwgAA-MEAAOhBAAC4QQAA4MEAAGBBAABUQgAANMIAAMjBAAA4wgAAIEEAAKBCAABMwgAAMMEAAIDAAADgQAAAAAAAAKBBAACAQAAAmEEAAIA_AABAQAAAZEIAAEDBAAAgQQAAgL8AAIDBIAA4E0AJSHVQASqPAhAAGoACAACovQAA4LwAAO4-AACgPAAAuL0AAMY-AAA8PgAAC78AAKq-AABwPQAAiL0AAHS-AAAUPgAAPD4AADA9AAAwPQAAFD4AABA9AABwPQAA0j4AAH8_AADgPAAAgLsAAIY-AAC-vgAAoLwAACw-AADIvQAALL4AAIY-AAAMPgAAuL0AADy-AABsvgAA2D0AAIg9AAAEPgAADL4AADS-AACYvQAAnr4AAGy-AAA0PgAAcL0AAAy-AAAQPQAA4LwAAMa-AAAUvgAAfL4AAJg9AACIvQAAFD4AAPg9AAAsvgAAUL0AAEk_AACgvAAAcD0AAKo-AACAuwAAHL4AACw-AABsPiAAOBNACUh8UAEqjwIQARqAAgAALL4AADA9AACgvAAAO78AAOA8AAAkPgAA-D0AAAQ-AACIvQAAZD4AAEA8AACgPAAAQDwAAIi9AAC4PQAAiL0AAEA8AAAXPwAAmD0AANI-AAAMvgAAEL0AADQ-AADovQAA4LwAAMi9AABwvQAAQLwAAPg9AACYvQAAmL0AAHA9AAAQvQAAyL0AAIA7AAAcvgAAgDsAAPg9AADIvQAAED0AAHC9AACgPAAA4LwAABC9AACgPAAAiD0AAH-_AAAEPgAALD4AAEQ-AAAwPQAA4LwAANg9AACKPgAAuL0AAIg9AACgPAAAgr4AAJg9AADIvQAAoDwAAOi9AACgPAAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=SpJAyeUDqRA","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["15224921073012254317"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3710128528"},"7295997958195334042":{"videoId":"7295997958195334042","docid":"34-4-2-ZF01AC302F2156A4F","description":"[Math Processing Error]...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2237650/724bfe01c2241937052486acce781d95/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/nD64WwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DmZxQnF1iYBA","linkTemplate":"/video/preview/7295997958195334042?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Basic Derivative Rules Video 1 The Power Rule","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=mZxQnF1iYBA\",\"src\":\"serp\",\"rvb\":\"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_f_-_gMA-AEACvcG_gIBCP4I-P7-AObx-wAJ_QEA9wT2-gQAAAD9BQgJ-QAAAPz8BPv8_gAADQ0B-gUAAAAD_QD_CvwCAAnyBAn_AQAA9_kFDgT_AAADAggHAAAAAPsX_PkA_wAABQ35AwAAAAAI8_kCAAAAACAALVL32js4E0AJSE5QAiqEAhAAGvABf_oEA_D-9wDjIfEAzSD4AJAJKP_9MNYAs_4AAK8Szv_2_fkA7_DmAAsHFf--BwH_MNjU_wLqFQAw7wD_IfEHAAEZEgET3gQBOBIq_w4B5f_iHyr9BOr0AP3L4QACFukDFgAS_vHt1_4bFc8B8fFBAgYgKgka3RH-ANcIBe4E-gLlA-kADhzqAiblDP7qByMBDfD6-w0F8_rdKfUCGfT1-_PZIf_0Edz_HfTiBQEBC_nS2Pf79vwB-hQHEgbNHgkI9PcjAubz-_T98xH4Q_L-_Nbi9gsEAfMM_PP4-P0E_Aj_9BL4zREDAvL4BgfkBP8DIAAtrqAfOzgTQAlIYVACKnMQABpgOPwAGikV9xvvJuD-1eQZ-uAOAAXBCv8c9wAFIt4HLvvosgPsAEHVFgy0AAAAEQPN-CsABGry0_3yCiYA4cEADT1_9BBDrv0EAd3zIv71Jf0uEUs_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-EEAAIBBAABMQgAAgMEAAPjBAACgwQAAEMIAABDCAABMwgAA4MAAAIDBAABcwgAADMIAAGDBAADwwQAAkEIAALBBAADYQQAAcEEAAIC_AADYQQAANMIAAETCAAAAwQAAiEIAAKDAAAAcQgAAAMIAAI7CAABgwQAAgMEAAMBAAABkQgAAnsIAAEzCAAB0wgAAoEEAAABBAAAkQgAAyMEAANhBAACAwAAAgEEAAPBBAAC4wQAADEIAAGBBAADAQCAAOBNACUh1UAEqjwIQABqAAgAAcL0AAKi9AABsPgAAJD4AABC9AADIPQAA4LwAAKa-AACivgAAQDwAACS-AACuvgAAkr4AAPg9AABwPQAAUL0AAJi9AAC4vQAAyD0AAJ4-AAB_PwAAbD4AACS-AABMPgAA0r4AAAy-AACoPQAAiD0AAJg9AAAEPgAAUD0AAAw-AACOvgAA4LwAABC9AABsvgAAHD4AAGS-AABkvgAAcD0AAEy-AACyvgAAzj4AAKC8AABwPQAA6L0AAIC7AAA8vgAAyD0AAPi9AAAwPQAAqD0AAEA8AAAcPgAANL4AABC9AAA3PwAA4LwAAEA8AABcPgAAEL0AAIY-AAAkPgAA2L0gADgTQAlIfFABKo8CEAEagAIAAAy-AACYvQAAcL0AAAW_AACaPgAA2D0AABQ-AABAvAAAgLsAAMg9AABEvgAAMD0AAKg9AACYvQAAQLwAAIC7AACYPQAALz8AAFC9AADGPgAAhr4AABC9AAC4PQAAUL0AAEA8AACAuwAAtj4AAFC9AAAsPgAABD4AAEA8AAAMPgAAqr4AABA9AACOvgAAoLwAAKi9AABUPgAA6L0AAOi9AAA0PgAAoDwAADw-AACAuwAAyL0AAOA8AAB_vwAAXL4AADC9AABsPgAAgLsAAHA9AAAEPgAAML0AAHA9AADgPAAAoDwAAEC8AAA8vgAAMD0AAEA8AAAMvgAAVL4AAIa-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=mZxQnF1iYBA","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["7295997958195334042"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"141006547"},"8969929052136024315":{"videoId":"8969929052136024315","docid":"34-0-3-Z08BEA8F7158A5E59","description":"This video explains what a one-sided limit is in terms of over- and underestimates of the value of a function at a point. This video is part of the Calculus Videos Project For more videos and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4318814/ebb10ebdbbdffa15286b05a9b36062c0/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/q99vaAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJxwD57FYC3Q","linkTemplate":"/video/preview/8969929052136024315?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"One Sided Limits","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=JxwD57FYC3Q\",\"src\":\"serp\",\"rvb\":\"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--fUF_QMAGAQD_QgFAwH1AfgA-f7-APTvAP34Av8A7gMFCgUAAAD6CvsDAgAAAAj29_73_gAA_gcE_gQAAAAK_ggEAwAAAAsEAgkKAAEBBAL-BQP_AAAFB_X9AAAAAPML__77_wAA-_sCAwAAAAD78_v5AAAAACAALdby3js4E0AJSE5QAiqEAhAAGvABVwshANDo7__7CPMA1Qn7AIEFC__9Jt4Ave7_AO4N3QHx9AIA8xYQ_wvv_QHRFjH_EPbr_wLuEQAW-RUAEP79AAkBHQAUDQsARhgh_vXxBP7cOgH_CRIJAOTX6f8GCfL_-f79_dsEzv8I8MsHJt8dARUABP8k5__9_-cH_PID-wL0D-D-EgDyAuvuCwHp-CMFDAEC_Po67QD0CPADAQoI_PzmAgcR-_L9IP73BRQDCvjv_Pn87wXhAvQFBQfeBt7-5OgH-QHuFwIFCwAHAOoU_-8VBwIdEP_4FQH29hwA-ALtBQQB7ej-AN0V-gr_5fkIIAAtbidIOzgTQAlIYVACKnMQABpgNf0ALd81wBspJekO-wMcr_Le2wS6E_8c6wC---ET7B_ym_zCAA7--tKfAAAAGATWEPQAIH_v5L0x5BL50o4bPAV3MSMHxzfXCq3I-A375wco-VZCAOTltjRUAL4bFgAcIAAtpRgVOzgTQAlIb1ACKq8GEAwaoAYAAKBBAAAAwQAANEIAABBBAAAAwAAAWEIAAJxCAABQQQAAAMIAAKhBAACgQAAAgL8AAIhBAACAwQAASMIAAKhBAADwwQAA4MEAAGBBAAAAwQAAgD8AAJDBAABowgAAoEAAABzCAADAQAAAwMEAAIDAAABkQgAAiEEAAGjCAAAkQgAAsMEAACBBAACYwgAAhkIAAIpCAADQQgAAgEAAAIDBAAAwwQAAVMIAAMBBAAAAwgAAqEEAAJjBAADgwQAAQMEAAHDBAABcQgAAAAAAAIDBAABAwQAAcMEAAFxCAADwQQAASMIAAEDBAADgQAAAEEEAADBCAAA0wgAA8MEAAHTCAAAgQQAAAMMAAHzCAAA0wgAAEMEAAI7CAACwQQAAFMIAALrCAABwQQAArMIAAABCAAAAQgAAKEIAAHhCAABEQgAA2MEAAIxCAAAYwgAAsEEAAIBCAAAAwgAAgEIAAMjBAAAEwgAAFMIAABTCAABwQQAA6MEAALhBAADYQQAAEMIAAKjBAACGwgAACEIAAOBAAACSwgAABMIAAABCAAA4QgAAqMEAAIBBAAAowgAAkEEAAPhBAACUQgAAlkIAADhCAAB4wgAAGEIAALBBAABAwAAAgL8AAIA_AADgwAAAAEAAACxCAACQwQAA6MEAAKBAAADwwQAAAAAAAGxCAABAQQAAYMEAAKBBAACQQQAAoMIAAPjBAACAQQAAIMEAAEBAAAAUQgAAGMIAALDCAADgwAAAwEAAABDBAAAkQgAAEEEAAJBBAACAwAAADEIAAMDBAAAIQgAAyEEAAFjCAACwQQAAAEEAAJRCAABAQQAAoEEAACjCAABQwQAAiEEAALBBAAD4wQAACEIAAAjCAACwwgAARMIAAIC_AACYwQAAiEIAANhBAABAwAAAoMIAAOBAAAAEQgAAMMIAABDCAACwQQAAsEEAAIC_AAAAwAAAQMAAAGTCAAAAwAAAdMIAAL7CAAAgQgAA0EEAACDCAAAAAAAA4EEAALDBAACQQQAAhkIAAChCAAAwQQAAYMEAAL5CAAAQQgAAuMEAAKhBAACAwSAAOBNACUh1UAEqjwIQABqAAgAA6L0AAFy-AAA0PgAA-L0AAAQ-AACyPgAAXD4AAOa-AADIvQAAyD0AAII-AABwvQAAmD0AANg9AAAUPgAAED0AALo-AACAOwAA4DwAAAs_AAB_PwAA4LwAABA9AAAUPgAAUL0AAIi9AACIvQAAED0AANi9AAC6PgAAZD4AAGy-AACgvAAAQLwAAKg9AADYPQAAMD0AAKa-AADKvgAAgLsAALq-AAAwvQAAgj4AADS-AAAMPgAATL4AAJi9AAC4vQAALL4AAI6-AADWvgAAyL0AAGw-AACGPgAANL4AALg9AABTPwAAjr4AAIY-AADGPgAA4LwAAIY-AAAEPgAAyD0gADgTQAlIfFABKo8CEAEagAIAALq-AACovQAAbL4AAFG_AAAMPgAARD4AAJo-AACSvgAAUL0AAFw-AACSPgAA-D0AAEy-AAAEPgAALD4AAEC8AACAuwAAST8AACS-AADSPgAA4DwAAJi9AAB0PgAAcL0AAKi9AACIPQAADL4AAFQ-AACePgAABL4AAAw-AACAOwAA2L0AAAS-AADuPgAAUD0AADw-AADIvQAA6L0AAJa-AADePgAAcD0AABS-AAAQvQAAbL4AACQ-AAB_vwAAUL0AAJY-AABcPgAAuL0AABQ-AABMvgAABT8AAKA8AAAsPgAAoLwAADA9AACCPgAA6L0AAPg9AAAQvQAAjj4AAJg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=JxwD57FYC3Q","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["8969929052136024315"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1764446808"},"16065133609429429715":{"videoId":"16065133609429429715","docid":"34-8-11-Z69491C93179A5E96","description":"← Previous...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2848702/53b8df379f82e31ff6d107c8bf8faf22/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/gzMrWAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dk28KSIsbiso","linkTemplate":"/video/preview/16065133609429429715?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Basic Derivative Rules Video 3 Trig Functions","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=k28KSIsbiso\",\"src\":\"serp\",\"rvb\":\"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-_AD-AwD1DgUC-QT_ARMCBPn2AQEA6_j88wL_AQDt_AP6A_8AAPr9CAQAAAAA-ugAAf3-AQANAP0D-wAAAAT__QICAAAA__MGAf8BAAD3-QUOBP8AAAz9BAD_AAAABhQG9wD_AAALBPcEAAAAAAn4-hEAAAAAIAAtAFPbOzgTQAlITlACKoQCEAAa8AFg5zAA6fHYANMFAAC3ENcAgRXw__0q2wDlC-sAtw_r_wXzIwDvJxv_JNwKAMYjFwEeC-n_Av0aAEHLBwAOB-AA8OsRAA7_6gAtDRMCBAXaAAUcBv8Q6gsAE_TQ_wgk8QAOE_T9CuviAAz_3AITAhkA8P_6AvMI-_r86fL-3BICAfDk4P4UGfsD-gL1_Qf2IwP-7hn8CiIG-goH_PoNEwYEEvcGAgsP2QAMBfQF_AkC_vbv9QHz3esC_OYLA9oZ-Qbk_AcF8OoP-ubXA_oT6Bj78vgCCRUS9_0D-P4C6wL3CAso_AbwAQH48AD5Dwzg7vwgAC1R9DU7OBNACUhhUAIqcxAAGmBV6wAnJvjkGQQTzfPe4hbazesGFb8g_wHKABwstSkjAg6qBukAO8P3CaYAAAAAEc0oDgAMee3YKR0KWRuutuI8NX8rAw2-6CQDwN0rEwcX6Tz6LSQA0fq09zXFvSAjURwgAC3rVRY7OBNACUhvUAIqrwYQDBqgBgAACEIAAIDBAACYQQAAqMEAAADBAADoQQAAxkIAABBBAACIQQAAqEEAANBBAACGQgAA0MEAACRCAABMQgAAAEEAACDCAAAEwgAAWEIAAATCAAAoQgAAgEEAALBBAAAgwQAAQMEAABBBAAAYQgAAgEAAAEBBAACaQgAAkMEAAFRCAABowgAAgD8AAGTCAACAwAAAXEIAADxCAABwQgAA2EEAAKZCAADAQQAAyEEAAIBBAADIQQAANMIAAARCAACAwAAAgEAAAEDBAABowgAAQEAAAIA_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_AACAQAAAhEIAAAhCAABQQQAAHMIAAADBAABMwgAAUEEAAIDAAABAQgAATMIAADzCAABwwQAA8EEAAKjBAABIQgAAeEIAAAzCAADAQQAAuMEAAIjBAACQwgAADMIAAPjBAABAQAAA8MEAAFDCAACwwQAAAMIAABzCAAAcwgAAHEIAAHRCAACwwQAAmsIAAJhBAADAQQAAAEIAALhBAACKQgAAmkIAACDBAAAAwAAAYEEAAKDAAAAgwQAAZEIAAPjBIAA4E0AJSHVQASqPAhAAGoACAACovQAAED0AAGQ-AAAsPgAAmD0AAHw-AABQvQAA1r4AAI6-AACYPQAALL4AAEy-AAC4vQAAUD0AAIA7AABAPAAALL4AABA9AADYPQAAhj4AAH8_AABEPgAAmL0AAII-AABsvgAAqL0AADC9AAD4vQAAJD4AACQ-AACgvAAA-D0AAHS-AAB8vgAA-L0AACy-AAC4vQAAhr4AAHy-AABQvQAAZL4AAIK-AADYPQAALL4AAKi9AAAkvgAAUL0AAMi9AACgPAAARL4AACw-AAD4PQAAMD0AAJg9AACOvgAAiL0AABE_AABQPQAA6D0AAFw-AABAPAAAgLsAAAQ-AAAwPSAAOBNACUh8UAEqjwIQARqAAgAAcL0AAAS-AADIvQAALb8AADw-AAAMPgAAXD4AAAy-AAAUvgAAoDwAAKC8AADYvQAAoDwAABy-AAAQPQAAQLwAAKg9AAAfPwAAqL0AAIo-AAD4vQAAqD0AAAw-AADYvQAA4LwAADC9AACgPAAAqL0AADA9AAD4PQAA6D0AAFw-AACqvgAA2L0AAOi9AAC4vQAAoLwAACQ-AABUvgAANL4AAHQ-AAAEPgAAoDwAAMg9AADovQAAuD0AAH-_AABcvgAARD4AADw-AABcPgAAQDwAAIg9AABwPQAAFD4AAOA8AABQPQAAED0AADy-AABQvQAABD4AAMg9AACYvQAAor4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=k28KSIsbiso","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["16065133609429429715"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1446019735"},"11062778651335581522":{"videoId":"11062778651335581522","docid":"34-10-6-Z4A8467AB4D3F7C5A","description":"Two students attempt to draw a graph of the speed of a football as it is thrown. Their problem-solving and thinking illuminates ideas about graphing derivatives. This video is part of the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3710462/df83bcde44200d944eb570a8e8680e87/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/2z3NCQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DPO7p9wDm2KM","linkTemplate":"/video/preview/11062778651335581522?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Graphing Derivatives: Student Problem Solving","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=PO7p9wDm2KM\",\"src\":\"serp\",\"rvb\":\"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-vkAAAD0CQ8KBQb8ARoABgoHAQEA8_D5_wUC_wD2-QD3AQAAAPAPDAMGAAAA_ff3Avr-AAAAD_MKAwAAABoC_QD3AAAAC_r3Af8BAAAJ9wURA_8A_wcCBff_AAAA9An6_wMAAAD5EP0HAAAAAP74_goAAAAAIAAtCLHSOzgTQAlITlACKoQCEAAa8AF_6hf-mQbH_QLf6wAqA8gBmAz__ztF2__C3BUC-RSpAPnpDwDgLwb_GSzyAMoQCwC6Fhj_BL8Y__Dx__8M-QUA0hMZATsQBwNpByIAFOAO_t0t-v_l-gEC_b7ZACH_1P8v6zz_CfrTAf8H2wQR_kgBGv30_CDpvv_9x_j79-0nA_EL6fb3APAFDN4UDLgR_AMyFwT81k0UBBPq9QAr6iL7NgDz_Q4TGQoeFdT4DuwDBdwR7_XNEvb2-ysfDPzo2vzW_w7xDBMC8UH-CQYiCxMHMRj6_gzf_P0R_v37AtP38Az47wQtAgP2vy0H_wXVAxogAC2_TgA7OBNACUhhUAIqzwcQABrAB4cW4b64Puw8OUImvV8eHD3zVt2848SHvaqdnzuELXa8obC1vSurhD1piG89Dwlfu72OkL5851y92KYpO4ofUz7LEOg7pPbHvHoXL74IPDA9KZ_UvBUcTr6sTcg8NZcfOx6vdj19uxs9DniqvHIeaT07anG9vLQ8vbpLgj38E8G88joHvfBVBj3NhHW95jXAvNuZUz2SC5m9vOvsu0CDcrx6apo9fxVgvFhuzjx_Gxw72NVkPJVmDr0pnaO8RNsxPGn-KD6LXdM7RwsrPC8_w7svsYk7coKbvOtGLj3Gu4g85fh8vGNebDw7Dg09LU7rvNnWKrxEB3I7IXDqujlCtr2kZpQ9T7C_PKj8Cz6lg5U9JI6GvO-SWL2TyQ05CCp8u9XnarwJ0Uk6yUSAPAGZtz3Woiq8VyGKPHKnFD7nYXI9SdV2vG7lIL30oQ28Rr_sPFYNwjxoxTw9Hom4Oz_3Kr2QDqQ9fJGaPB4lJb2_2UG82mvqu22shDwdEDc9s1twPBzjs7rfPTa9t5APvEWA8z28Yba9ey8dO4tInrya3SS8sdcBvO3HXLzgU-88t7aNO2786T1M5K29K3Opuyh22bxXCKu9NIiLuw4-Az3nOsi9LzNsPN6Fd70gJ8w9KAgXN3DBiDwHlZ288HAavMUb2byaFX67IK9uOyjMlb2A-SC8y0OuOzBQkTnkN7A9OXeeOzjYOz2jAgc-PZzruaCNLD7LrgW9IAINuRrkyTzXnr48JZgkO39Ogbwpe6Y8V0qluB-i0T1Y-B-9edGKODsrErzjCCi9G9QauUuZLzx4XIk9_hdVuOD4Fb1nU2S9UuspuKaX-L3zq6m9qjR1OJgf7jzbuGq8ERzFuE_wKD25A1C9t1vst19_vb0fGDu9CNU3ufOEv71pUWQ9_DI4uT6-kz2RdZ28ME3zNyHuhTz3z549Nl-huq4dezzceSy9F0IGNw_Rqrtvngo-oKIZuSu0f7s_hvM8dBePuP1Ylz3ct_o9HVbENRHBjb26VoE9SeLlNyNhhDy6Z709JV93t64CZr3-17m8rTWit9pO5TxkLIk8fJqYuLkX-7u9DmY8D9eSOE3aVL2G95a9N4MBt64OQD540y297Ip9tmqirjtSKAs8AphZOF8OFj3e7lu92bXvt1xJAb3K3tK9FyIEudW5fTyMEx-9cXMwtdhLnr3AGrE8lNf3tuwDvTt81A--F_rcuIiEzz1rsks9ibeFOMW_mb1zOEk9XU7juDVsSr1l35U9kdSDN7JStzxQiJU9ohkkNyAAOBNACUhtUAEqcxAAGmA68gAP7eL0CfoI3M_b4SHy4b4B-MFI__HH_xAy3wQeErrNBsv_Z9zs96EAAAAv5s_wLwAee_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_AAAwwgAAAEEAAPBBAACMQgAAgEEAAKJCAABIQgAALEIAAKDBAAAQQgAA0EEAAPhBAACgQQAAcMEAAFTCAABwwQAA6EEAAIBBAACgwQAA6EEAAATCAAA8wgAALEIAACDCAADwwQAAdEIAAEBAAACowgAAUMEAABxCAABAQQAAEMEAADRCAABIwgAAZMIAAKDBAACAPwAAiMEAAFBBAADIwQAA8EEAAKDAAADAwAAAAMAAAKDAAACQQQAAoEAAAExCAADoQQAAQEIAAJZCAADowQAAJMIAAIDBAADowQAAyEIAAIDBAACKQgAAAAAAAEDCAABAwAAAAEAAAHBBAAB8QgAA6EEAACTCAACEwgAAHEIAANBBAAAQwgAAOMIAAJDBAABQQQAAyMEAADDBAAAUQgAAQMIAAIBAAADQwgAA-MEAALZCAABgwQAA8MEAAHBBAAAMQgAAgL8AAEBBAAAsQgAA8EEAAIDAAADowQAAvkIAABBCAABAQAAA0MEAAADAIAA4E0AJSHVQASqPAhAAGoACAAC4vQAA4DwAALI-AABQPQAAXL4AAHw-AAAcPgAAF78AADS-AAC4PQAAqL0AABy-AADgPAAAXD4AAFC9AABwvQAAfD4AABA9AACYPQAA2j4AAH8_AACgPAAAgDsAANg9AABkvgAAuL0AALg9AACIvQAALL4AAAw-AAAwPQAAqD0AAES-AADovQAAuL0AAIi9AAA8PgAAcL0AAOi9AAAEvgAAmr4AABA9AABcPgAABD4AAIK-AADgvAAAyL0AAAy-AAA8vgAAQLwAAAQ-AACIPQAAhj4AAPg9AABsvgAA4LwAAFs_AABQPQAAqD0AAKi9AABAvAAAgDsAABw-AACYPSAAOBNACUh8UAEqjwIQARqAAgAA4DwAACQ-AABAPAAAI78AAOC8AACAuwAA2D0AAEC8AABAvAAAmD0AAHA9AABkvgAAyD0AAK6-AAAcPgAAcL0AABw-AAADPwAAEL0AAIY-AACovQAA6D0AAPg9AAD4vQAAQDwAAIC7AADYvQAAgLsAAEC8AACYvQAAED0AAAQ-AADYvQAAuL0AAMi9AADgvAAAML0AAII-AAA8vgAAgDsAABA9AAC4PQAAmL0AADA9AACYvQAAUD0AAH-_AABwPQAAQDwAACQ-AADYPQAAUL0AAMg9AADYPQAAQDwAAOA8AACAOwAAmL0AAGy-AAD4vQAAuL0AAEA8AAAUPgAAEL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=PO7p9wDm2KM","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["11062778651335581522"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3919307520"},"10792986471142374538":{"videoId":"10792986471142374538","docid":"34-8-10-Z8B291F921507BA42","description":"This video explains what the technique of u-substitution is and shows several examples of how to use u-substitution to compute integrals/antiderivatives...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3659831/4965ddf9f450356507c67e47d3c5126b/564x318_1"},"target":"_self","position":"18","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DpBfyWU_lf04","linkTemplate":"/video/preview/10792986471142374538?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"U-Substitution for Antiderivatives","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=pBfyWU_lf04\",\"src\":\"serp\",\"rvb\":\"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-Pz8BAAPAA8AAgf_AfgABAn6_v0A___0-_0E_gD9AwD59wEAAP_9DwsDAAAA_fj4Avv-AAANDf3--AAAABj39Qj9AAAABwb_Av4BAAD1-AcCAwAAAAz-_QEAAAAA9QoD-gIAAADxAgEEAAAAAAL79wYAAAAAIAAtEtTfOzgTQAlITlACKoQCEAAa8AF_CAgB3vfpAdAW9wDTDucBqhwKABEW0gC9Bf0AvAPhAO0G6QDdA-kA4h4T_9H__v8cAcMA--z4ACTW8P8Z3gAB8h4FARPHAwA8Ey3_8ATZ_-AiLf3z9AsAHublAA4Z8v7_Cxv8EPnz_QrquAkwLDABBP9DACz7JQHuzBsD4PAIBQrw1wAEF_0FC-AP-OPWJgMLy-sFD_X--rQ_7QAaB_3609oa_Agu1f0w6-4IK-UBA9ndBAHk7PwBBAcs_8As7QTX8i4G1-UA-OUVBQ4g2wPy6-vrCuf58A4ABwcCDfUKAAv58QTXKP0EyhbpAPgL9vEgAC2NuxM7OBNACUhhUAIqcxAAGmAw-ABFDhTHEOgH1PLOz__oz83k_8oU_93X_wYwxwsb7vrSGNf_atIjE6UAAAAgHfU-AQD-e9jJ7jEC9QjDzgEjNnHpAUaj4xv0q_Ie-QHt4Dj67n8A7efHJv7qqDsK_hUgAC1dexg7OBNACUhvUAIqrwYQDBqgBgAA8EEAAIDBAABAQgAAyMEAAExCAAAEQgAAdEIAAOjBAADwwQAAAEIAAKhBAABMwgAAuMEAAADAAACAQQAAuEEAAABCAACOwgAAYEIAAKDBAAAowgAAgEEAABDCAADAQAAA8MEAACTCAACYQQAASMIAADhCAABAwQAASMIAAFxCAAC-wgAAGMIAAJzCAACoQQAALEIAAIJCAACgwQAAIEIAAExCAACgwQAAAMAAAPDBAAAQQgAAosIAAKDAAAAQQgAAPEIAAKhBAACAQAAAgMAAAFBBAACgQAAAkEEAABBCAACkwgAAIEEAAMDBAAAMQgAAiEEAABTCAACowQAAWMIAAAxCAADAwgAAVMIAAJDCAADgQQAAjsIAAChCAABkQgAApsIAAIC_AAAcwgAA2MEAAPDBAAAQQQAAMEEAAIBAAACAwQAApEIAAAjCAADYQQAA0EEAAFBBAADAQQAAsEEAAEBCAAAMwgAA-MEAAL5CAABAwgAAMEIAAEBCAABQwgAA6MEAAIjBAACgQAAAQMAAACjCAAAcwgAAoEEAACBBAADYwQAAVEIAAIBAAAAcwgAAgEEAAFBCAAAIQgAAoEEAAMBAAACQQQAAhsIAALpCAAAoQgAAEEEAAIzCAADYwQAAbMIAAFzCAAAAAAAA4EAAAIA_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_AADovQAAkr4AAJI-AADOvgAAcL0AAJi9AACWvgAAED0AABw-AABQvQAAuD0AADS-AABwvQAAqL0AAOC8AADgvAAA-L0AAAy-AABEvgAAqL0AADy-AABQPQAA4DwAANi9AABkvgAAiL0AAGy-AADYvQAAbL4AAJg9AACKPgAAnj4AAOA8AACqvgAAoLwAADk_AABAPAAATD4AAFQ-AAAEvgAA6L0AAOA8AACAOyAAOBNACUh8UAEqjwIQARqAAgAAcL0AADA9AACYvQAAS78AADS-AABwPQAAyD0AAIC7AADIPQAAZD4AAPi9AACovQAAcD0AAPi9AABAPAAAgLsAAHC9AAAbPwAA-L0AAIo-AAD4vQAARL4AAPg9AAAEvgAAML0AAK4-AADYvQAA4LwAANi9AACIPQAAML0AAFA9AAAEPgAAbL4AAMi9AADgPAAAQDwAAEQ-AABAPAAAqL0AAGQ-AADIPQAAuD0AAOC8AACIvQAARL4AAH-_AABQvQAA2L0AAII-AAA8PgAAgLsAAMo-AAAEPgAA4LwAAOC8AABwvQAAuL0AAGy-AABkvgAAdD4AACw-AACIvQAAEL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=pBfyWU_lf04","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["10792986471142374538"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3380535692"},"2596627789396357476":{"videoId":"2596627789396357476","docid":"34-4-12-ZEB8E7877B5D60807","description":"← Previous...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4224992/73dbb4cd7c29dfb7c8d6afa573c8beb7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/hBUYQwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DKUKR8ZFZNQc","linkTemplate":"/video/preview/2596627789396357476?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Graphing the Derivative Function","related_orig_text":"Calcvids","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Calcvids\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=KUKR8ZFZNQc\",\"src\":\"serp\",\"rvb\":\"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_AUA9AILAAIE_gEaAAEJ9QICAPj1AfIDA_8A9_kA9wEAAADz_g4F-AAAAP34-AL7_gAAAA70CQMAAAAQAPL3_QAAAAYD9gH_AQAA__UECAT_AAANCAEFAAAAAPYOAQMBAAAA-QABEQAAAAAM-fcFAAAAACAALVNm3Ts4E0AJSE5QAiqEAhAAGvABdPokAc385v_19OgA5Ar1AYEiCv4cJOIA0ObtAQP6BgHmESQAyPc9_zb5DACYEO8BKQ3-_93GDQAu-iT_4wz4AO8MJAAb-_gAUyoEACMQ2AAGIAb_9b4I_wcH__4ZGd8AHwQD_C7_7v8GCfgDRvooACXp7wEK6vL_FgsK_v8PKADW_vQA6-0OBy795P7ZAvsH2eEIAhwJ8_vzB_0EIOEJAirc5_4QBvYGCTztA_Lz-Pcn4Q389OrlCBId_vf5Fdv978z--AvYFAAH-gsGGPQOBwzvBggGCgD4MB7z9grhC_ziFQADCP8B_-0K7AbsAQcRIAAt_yEdOzgTQAlIYVACKnMQABpgLAAAAe33Ci0EFdrWrb0Y-trg99nGI_8AyAALTL0ZCxLxvenH_z_G6_uiAAAABhnRHCYA7X8B-yD4EQPv1sIp9AV3Hzghsco3_sjQ-DQu6eAUCTQzAK_8vBwTocE4CmwpIAAt-bsUOzgTQAlIb1ACKq8GEAwaoAYAAAxCAACgwQAA6EEAAKBBAADIwQAAiEIAAFRCAADwQQAAgMIAAIA_AABQQQAAuEEAACRCAAAQQQAAgL8AAIBBAABgwgAA8MEAAAzCAABQwgAAFEIAACjCAACwwQAAkEEAAKjBAADAQQAAwMEAACDCAACIQQAAcMEAACDBAAAsQgAAWMIAAOBAAACAwgAAwMAAAFxCAACiQgAA4MAAACTCAAAAQgAAuMEAAAhCAAAQQgAAlEIAAKjBAADwwQAAqMEAADRCAAAkQgAAuMEAACTCAAB8wgAAGMIAAADAAAA8QgAAAMIAADTCAAAcQgAAikIAAABBAABAwgAAgMIAAFDCAAAAQQAA1sIAAOhBAACAwQAAiMEAAFTCAAAYQgAADMIAAJDCAABAQgAA8MEAAEDBAACAQQAAgEEAANJCAACAwQAADMIAAJxCAABcwgAAAEEAAARCAAB4wgAAHEIAANhBAAAsQgAAMMEAAIhBAAAEQgAAOMIAAEBBAAAAwAAAisIAAADCAAC2wgAA-EEAAEBBAAAUwgAA8MEAAJZCAACAQAAANMIAAFxCAAAkwgAA0EEAACDBAACgQAAAMEIAAGBBAAAQwQAAxkIAACBBAAAAwQAAgL8AALDBAABwwgAAcMEAAKhBAABQwgAAmMEAABBBAAB0wgAAQMIAAOBBAABgwQAA8MEAALBBAACAwQAARMIAANDBAAD4QQAAcEEAACzCAAAEQgAA8MEAABTCAADowQAAAEAAAAjCAAAEQgAA0MEAALjBAACAQAAAqMEAAETCAABgQgAAwMAAAADBAAAUQgAAIEIAAOhBAADgQQAAgEEAACjCAABAwQAAiMEAADxCAACgQAAAZEIAABTCAADYwQAAHMIAAKhBAABAwAAAlkIAABRCAAAAQQAAaMIAAEDAAACQwQAA4MIAAKjBAAAAAAAAqEEAACDBAAA0wgAAsEEAAEzCAAAAwAAAaMIAAHTCAACyQgAAqEIAAPjBAACAwAAAZEIAAEBAAAAAwAAAgEIAAOBBAACgwAAAREIAAIJCAABQQQAA4MEAABDCAADAwCAAOBNACUh1UAEqjwIQABqAAgAAgLsAAKA8AABsPgAAmD0AADy-AADYPQAAcL0AAMK-AABkvgAA-D0AAEA8AAA0vgAA4DwAADQ-AADgvAAAQDwAAIg9AABAvAAAiD0AACw-AAB_PwAAuD0AANi9AABkPgAAFL4AAKA8AABwvQAA2L0AALg9AACIPQAAiL0AAHA9AADYvQAAiL0AAAw-AABEvgAAUD0AAI6-AADYvQAAcL0AAHy-AADYvQAADD4AAIC7AAAUvgAADL4AAOC8AACgvAAAyL0AABy-AAB8PgAAuD0AACQ-AAAkPgAADL4AAKC8AAAPPwAAED0AAEQ-AABQPQAAmD0AAKA8AAAUPgAALL4gADgTQAlIfFABKo8CEAEagAIAADC9AACYPQAAUL0AAC-_AACAuwAAmD0AAFQ-AADgvAAAiD0AAOA8AAAQvQAALL4AAPg9AAAUvgAAHD4AAFC9AADYPQAA_j4AAEy-AABkPgAAdL4AAHA9AADoPQAAuL0AAOA8AACgPAAAUD0AAOC8AABQPQAAQLwAABA9AAAcPgAAhr4AAJi9AAAcvgAAgDsAABA9AACaPgAAJL4AABy-AADIPQAAyD0AAOC8AAAsPgAAqL0AAKi9AAB_vwAA6D0AAJg9AACePgAAHD4AAOC8AADYPQAA2D0AABA9AABQPQAAED0AAEC8AAAsvgAANL4AAOg9AAAwPQAAqD0AADS-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=KUKR8ZFZNQc","parent-reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2596627789396357476"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false}},"dups":{"9282257434178701589":{"videoId":"9282257434178701589","title":"First Fundamental Theorem of Calculus","cleanTitle":"First Fundamental Theorem of Calculus","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=AeASWdqiDv0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/AeASWdqiDv0?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":481,"text":"8:01","a11yText":"Süre 8 dakika 1 saniye","shortText":"8 dk."},"views":{"text":"2,4bin","a11yText":"2,4 bin izleme"},"date":"11 ara 2019","modifyTime":1576022400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/AeASWdqiDv0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=AeASWdqiDv0","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":481},"parentClipId":"9282257434178701589","href":"/preview/9282257434178701589?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/9282257434178701589?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3481427775514802025":{"videoId":"3481427775514802025","title":"Quantitative Reasoning in Calculus","cleanTitle":"Quantitative Reasoning in Calculus","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=iosg_7QqetI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/iosg_7QqetI?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"https://www.youtube.com/channel/UCpVXyeQJOLQ7pgXrG4SDCUA","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":519,"text":"8:39","a11yText":"Süre 8 dakika 39 saniye","shortText":"8 dk."},"date":"31 tem 2020","modifyTime":1596153600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/iosg_7QqetI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=iosg_7QqetI","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":519},"parentClipId":"3481427775514802025","href":"/preview/3481427775514802025?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/3481427775514802025?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12174849316937140142":{"videoId":"12174849316937140142","title":"Slopes of Secant and Tangent Lines - Part 1","cleanTitle":"Slopes of Secant and Tangent Lines - Part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=qWnvhjVZsXc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qWnvhjVZsXc?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":386,"text":"6:26","a11yText":"Süre 6 dakika 26 saniye","shortText":"6 dk."},"views":{"text":"2,1bin","a11yText":"2,1 bin izleme"},"date":"9 mar 2020","modifyTime":1583712000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qWnvhjVZsXc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qWnvhjVZsXc","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":386},"parentClipId":"12174849316937140142","href":"/preview/12174849316937140142?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/12174849316937140142?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13294776509135489247":{"videoId":"13294776509135489247","title":"Continuity","cleanTitle":"Continuity","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=YhF01FGJRXU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/YhF01FGJRXU?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":461,"text":"7:41","a11yText":"Süre 7 dakika 41 saniye","shortText":"7 dk."},"views":{"text":"4,9bin","a11yText":"4,9 bin izleme"},"date":"8 mar 2020","modifyTime":1583625600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/YhF01FGJRXU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=YhF01FGJRXU","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":461},"parentClipId":"13294776509135489247","href":"/preview/13294776509135489247?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/13294776509135489247?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12870137839134559089":{"videoId":"12870137839134559089","title":"Approximating Instantaneous Rates of Change with Average Rates of Change: Part 1","cleanTitle":"Approximating Instantaneous Rates of Change with Average Rates of Change: Part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=NweOqLmhM0A","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/NweOqLmhM0A?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":166,"text":"2:46","a11yText":"Süre 2 dakika 46 saniye","shortText":"2 dk."},"views":{"text":"2,4bin","a11yText":"2,4 bin izleme"},"date":"8 mar 2020","modifyTime":1583625600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/NweOqLmhM0A?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=NweOqLmhM0A","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":166},"parentClipId":"12870137839134559089","href":"/preview/12870137839134559089?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/12870137839134559089?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2563493859544381896":{"videoId":"2563493859544381896","title":"Using the Limit Definition of Derivative","cleanTitle":"Using the Limit Definition of Derivative","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=OnqQGW7J89E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/OnqQGW7J89E?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/channel/UCpVXyeQJOLQ7pgXrG4SDCUA","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":423,"text":"7:03","a11yText":"Süre 7 dakika 3 saniye","shortText":"7 dk."},"views":{"text":"2,7bin","a11yText":"2,7 bin izleme"},"date":"8 mar 2020","modifyTime":1583625600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/OnqQGW7J89E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=OnqQGW7J89E","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":423},"parentClipId":"2563493859544381896","href":"/preview/2563493859544381896?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/2563493859544381896?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9297799314078406077":{"videoId":"9297799314078406077","title":"Slopes of Secants and Tangents Video 1","cleanTitle":"Slopes of Secants and Tangents Video 1","host":{"title":"YouTube","href":"http://ximera.osu.edu/fall18calcvids/c/secanttangent/secanttangent/1","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/j5SvtRvDutA?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":440,"text":"7:20","a11yText":"Süre 7 dakika 20 saniye","shortText":"7 dk."},"date":"20 eyl 2018","modifyTime":1537401600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/j5SvtRvDutA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=j5SvtRvDutA","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":440},"parentClipId":"9297799314078406077","href":"/preview/9297799314078406077?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/9297799314078406077?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2616258273166857162":{"videoId":"2616258273166857162","title":"Approximating Instantaneous Rates of Change with Average Rates of Change: Part 2","cleanTitle":"Approximating Instantaneous Rates of Change with Average Rates of Change: Part 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=n6uzXkBxOQ8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/n6uzXkBxOQ8?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":305,"text":"5:05","a11yText":"Süre 5 dakika 5 saniye","shortText":"5 dk."},"views":{"text":"1,9bin","a11yText":"1,9 bin izleme"},"date":"8 mar 2020","modifyTime":1583625600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/n6uzXkBxOQ8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=n6uzXkBxOQ8","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":305},"parentClipId":"2616258273166857162","href":"/preview/2616258273166857162?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/2616258273166857162?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2858228183436681277":{"videoId":"2858228183436681277","title":"The Limit Definition of Derivative","cleanTitle":"The Limit Definition of Derivative","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=j_GHJV7TKPo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/j_GHJV7TKPo?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":493,"text":"8:13","a11yText":"Süre 8 dakika 13 saniye","shortText":"8 dk."},"views":{"text":"4,1bin","a11yText":"4,1 bin izleme"},"date":"11 şub 2020","modifyTime":1581379200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/j_GHJV7TKPo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=j_GHJV7TKPo","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":493},"parentClipId":"2858228183436681277","href":"/preview/2858228183436681277?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/2858228183436681277?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18260506255645127453":{"videoId":"18260506255645127453","title":"Second Fundamental Theorem of Calculus, Part 1: Accumulation Functions","cleanTitle":"Second Fundamental Theorem of Calculus, Part 1: Accumulation Functions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ctkhuNyODTQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ctkhuNyODTQ?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":282,"text":"4:42","a11yText":"Süre 4 dakika 42 saniye","shortText":"4 dk."},"views":{"text":"2,3bin","a11yText":"2,3 bin izleme"},"date":"9 oca 2020","modifyTime":1578528000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ctkhuNyODTQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ctkhuNyODTQ","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":282},"parentClipId":"18260506255645127453","href":"/preview/18260506255645127453?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/18260506255645127453?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13121493382717864800":{"videoId":"13121493382717864800","title":"Second Fundamental Theorem of Calculus, Part 2: Understanding the Theorem","cleanTitle":"Second Fundamental Theorem of Calculus, Part 2: Understanding the Theorem","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=9wL-DiOLxLw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9wL-DiOLxLw?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":337,"text":"5:37","a11yText":"Süre 5 dakika 37 saniye","shortText":"5 dk."},"views":{"text":"1,1bin","a11yText":"1,1 bin izleme"},"date":"9 oca 2020","modifyTime":1578590112000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/9wL-DiOLxLw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9wL-DiOLxLw","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":337},"parentClipId":"13121493382717864800","href":"/preview/13121493382717864800?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/13121493382717864800?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15224921073012254317":{"videoId":"15224921073012254317","title":"Using the Limit Definition of Derivative: Student Problem Solving","cleanTitle":"Using the Limit Definition of Derivative: Student Problem Solving","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=SpJAyeUDqRA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/SpJAyeUDqRA?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":196,"text":"3:16","a11yText":"Süre 3 dakika 16 saniye","shortText":"3 dk."},"date":"12 ara 2019","modifyTime":1576108800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/SpJAyeUDqRA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=SpJAyeUDqRA","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":196},"parentClipId":"15224921073012254317","href":"/preview/15224921073012254317?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/15224921073012254317?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7295997958195334042":{"videoId":"7295997958195334042","title":"Basic Derivative Rules Video 1 The Power Rule","cleanTitle":"Basic Derivative Rules Video 1 The Power Rule","host":{"title":"YouTube","href":"http://ximera.osu.edu/fall18calcvids/v/basicderivrules/basicderivrules/1","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/mZxQnF1iYBA?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":204,"text":"3:24","a11yText":"Süre 3 dakika 24 saniye","shortText":"3 dk."},"date":"29 eyl 2018","modifyTime":1538179200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/mZxQnF1iYBA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=mZxQnF1iYBA","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":204},"parentClipId":"7295997958195334042","href":"/preview/7295997958195334042?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/7295997958195334042?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8969929052136024315":{"videoId":"8969929052136024315","title":"One Sided Limits","cleanTitle":"One Sided Limits","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=JxwD57FYC3Q","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/JxwD57FYC3Q?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":443,"text":"7:23","a11yText":"Süre 7 dakika 23 saniye","shortText":"7 dk."},"views":{"text":"4,4bin","a11yText":"4,4 bin izleme"},"date":"19 nis 2020","modifyTime":1587254400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/JxwD57FYC3Q?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=JxwD57FYC3Q","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":443},"parentClipId":"8969929052136024315","href":"/preview/8969929052136024315?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/8969929052136024315?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16065133609429429715":{"videoId":"16065133609429429715","title":"Basic Derivative Rules Video 3 Trig Functions","cleanTitle":"Basic Derivative Rules Video 3 Trig Functions","host":{"title":"YouTube","href":"http://ximera.osu.edu/fall18calcvids/v/basicderivrules/basicderivrules/3","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/k28KSIsbiso?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":286,"text":"4:46","a11yText":"Süre 4 dakika 46 saniye","shortText":"4 dk."},"date":"29 eyl 2018","modifyTime":1538179200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/k28KSIsbiso?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=k28KSIsbiso","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":286},"parentClipId":"16065133609429429715","href":"/preview/16065133609429429715?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/16065133609429429715?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11062778651335581522":{"videoId":"11062778651335581522","title":"Graphing Derivatives: Student Problem Solving","cleanTitle":"Graphing Derivatives: Student Problem Solving","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=PO7p9wDm2KM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/PO7p9wDm2KM?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":305,"text":"5:05","a11yText":"Süre 5 dakika 5 saniye","shortText":"5 dk."},"date":"12 ara 2019","modifyTime":1576108800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/PO7p9wDm2KM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=PO7p9wDm2KM","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":305},"parentClipId":"11062778651335581522","href":"/preview/11062778651335581522?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/11062778651335581522?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10792986471142374538":{"videoId":"10792986471142374538","title":"U-Substitution for Antiderivatives","cleanTitle":"U-Substitution for Antiderivatives","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=pBfyWU_lf04","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/pBfyWU_lf04?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":493,"text":"8:13","a11yText":"Süre 8 dakika 13 saniye","shortText":"8 dk."},"views":{"text":"2,6bin","a11yText":"2,6 bin izleme"},"date":"11 ara 2019","modifyTime":1576022400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/pBfyWU_lf04?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=pBfyWU_lf04","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":493},"parentClipId":"10792986471142374538","href":"/preview/10792986471142374538?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/10792986471142374538?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2596627789396357476":{"videoId":"2596627789396357476","title":"Graphing the Derivative Function","cleanTitle":"Graphing the Derivative Function","host":{"title":"YouTube","href":"http://ximera.osu.edu/fall18calcvids/v/graphingderiv/graphingderiv/1","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/KUKR8ZFZNQc?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":"d3d3LnlvdXR1YmUuY29tO1VDcFZYeWVRSk9MUTdwZ1hyRzRTRENVQQ==","name":"calcvids","isVerified":false,"subscribersCount":0,"url":"/video/search?text=calcvids","origUrl":"http://www.youtube.com/@calcvideos","a11yText":"calcvids. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":559,"text":"9:19","a11yText":"Süre 9 dakika 19 saniye","shortText":"9 dk."},"date":"27 eyl 2018","modifyTime":1538006400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/KUKR8ZFZNQc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=KUKR8ZFZNQc","reqid":"1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL","duration":559},"parentClipId":"2596627789396357476","href":"/preview/2596627789396357476?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","rawHref":"/video/preview/2596627789396357476?parent-reqid=1774352444798839-16412579995376181426-balancer-l7leveler-kubr-yp-klg-232-BAL&text=Calcvids","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x906f9600bf4","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"4125799953761814267232","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":"Calcvids","queryUriEscaped":"Calcvids","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"}}}