The Chain Rule and Exponential Derivatives | AP Calculus AB

Worked examples, quick checks, captions, and corrected transcript: https://calculus.mrwittman.com/9-23-2... Learn the chain rule for composite functions, differentiate nested trigonometric and exponential functions, and derive the rule for exponential bases other than e. Chapters 0:00 The Chain Rule 1:47 Inside and Outside Functions 3:51 The Composite Function Rule 4:43 Why the Chain Rule Works 10:43 Sine of a Polynomial 12:08 Leibniz Notation and More Layers 17:23 Exponential and Power Examples 21:09 Combine Product and Chain Rules 25:07 Three Nested Functions 29:46 Exponential Bases Other Than e 36:08 General Exponential Rule 37:12 An Exponential with a Secant Exponent Course: AP Calculus AB Recorded September 23, 2026