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fazlası için: http://www.khanacademy.org.tr Matematikten sanat tarihine, ekonomiden fen bilimlerine, basit toplamadan diferansiyel denklemlere, ilkokul seviyesinden üniversite seviyesine her...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4222871/d978a3fb7f92709a1f03ef57ffdad11c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/YdQ2KgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1765334139634772-11742952202299661888-balancer-l7leveler-kubr-yp-klg-14-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765334139634772-11742952202299661888-balancer-l7leveler-kubr-yp-klg-14-BAL&text=videoid:309020433253219307","teaser":[{"list":{"type":"unordered","items":["Bu video, matematik eğitimi formatında bir ders anlatımıdır. Eğitmen, birim çember üzerindeki herhangi bir noktaya teğet olan doğrunun eğimini bulma yöntemini açıklamaktadır.","Video, x² + y² = 1 şeklindeki birim çember denkleminin kapalı fonksiyon olarak tanımlanması ve türevinin alınması üzerine odaklanmaktadır. Eğitmen önce çemberin fonksiyon olmadığını, ardından y = ±√(1-x²) şeklinde iki farklı fonksiyona ayrılabileceğini belirtir. Ardından zincir kuralı kullanarak kapalı fonksiyonun türevini alarak, herhangi bir noktadaki teğet doğrusunun eğimini (dy/dx) bulma yöntemini adım adım gösterir. Video, 45 derecelik açı yapan bir noktadaki teğet doğrusunun eğiminin eksi bir olduğunu göstererek sonlanır."]},"endTime":483,"title":"Birim Çember Üzerindeki Teğet Doğrusunun Eğimi","beginTime":0}],"fullResult":[{"index":0,"title":"Birim Çember ve Teğet Doğrular","list":{"type":"unordered","items":["x² + y² = 1 denklemi analitik düzlemde gösterildiğinde birim çember elde edilir.","Bu videoda birim çember üzerindeki herhangi bir noktaya teğet olan doğrunun eğimini bulma yöntemi anlatılacaktır.","Birim çemberin fonksiyon olmadığı düşünülebilir çünkü y açık bir şekilde x'in fonksiyonu olarak yazılmamıştır."]},"beginTime":0,"endTime":48,"href":"/video/preview/309020433253219307?parent-reqid=1765334139634772-11742952202299661888-balancer-l7leveler-kubr-yp-klg-14-BAL&text=Kapila+Math&t=0&ask_summarization=1"},{"index":1,"title":"Kapalı Fonksiyonların Türevi","list":{"type":"unordered","items":["Çemberin iki farklı fonksiyon şekli y = ±√(1-x²) şeklinde yazılabilir.","Bu videoda zincir kuralından faydalanarak kapalı fonksiyonun türevi alınacaktır.","Kapalı fonksiyonların türevi, y'yi x'in fonksiyonu olarak tanımlamadan türev alma yöntemidir."]},"beginTime":48,"endTime":134,"href":"/video/preview/309020433253219307?parent-reqid=1765334139634772-11742952202299661888-balancer-l7leveler-kubr-yp-klg-14-BAL&text=Kapila+Math&t=48&ask_summarization=1"},{"index":2,"title":"Türev Alma İşlemi","list":{"type":"unordered","items":["Denklemin her iki tarafına türev operatörü uygulanarak zincir kuralı uygulanır.","x² + y² = 1 denkleminin türevi alınırken, x²'in türevi 2x, y²'in türevi ise zincir kuralı kullanılarak 2y·dy/dx olarak bulunur.","Türev alma sonucunda 2x + 2y·dy/dx = 0 denklemine ulaşılır."]},"beginTime":134,"endTime":364,"href":"/video/preview/309020433253219307?parent-reqid=1765334139634772-11742952202299661888-balancer-l7leveler-kubr-yp-klg-14-BAL&text=Kapila+Math&t=134&ask_summarization=1"},{"index":3,"title":"Teğet Doğrusunun 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