0930 C06 TA Class | Differentiability, and Some Misc. in Calculus I

影片有點長，不用急著一次看完！每個段落其實都不長，可以依照自己的進度分次觀看，也可以直接跳到想複習的主題。 另外，我不太會剪影片，所以每次都只能錄這種一鏡到底的版本，還請大家見諒 XD 00:00 Introduction 01:50 Big O 05:45 Little o 10:40 Properties of Little o 13:00 Definition of Differentiability 16:46 Application I: Product Rule 19:20 Application II: Chain Rule 27:15 Proof 2: Epsilon-Delta Language 36:10 Application II.1: Quotient Rule 36:40 Change of Parameter 40:20 Application III: Derivative of arctan(x) 43:11 One Step Further 48:30 WS 2: Optional Problems × 3 56:10 A Fixed Point Theorem Proved Using IVT 58:00 Two Languages of Convergence (Hard but Highly Recommended) 1:09:00 Derivative of arctan(x)