Chapter 16 of 46

Derivatives of Inverse Functions

Name: Derivatives of Inverse Functions
Description: Reflecting a graph across y = x flips every slope into its reciprocal — and arcsin's derivative comes out, strangely, algebraic.

Reflecting a graph across y = x flips every slope into its reciprocal — and arcsin's derivative comes out, strangely, algebraic.

Free11–15 min

By the end

Each chapter closes with capabilities, not topics. Watch for these.

01Use g'(x) = 1/f'(g(x)) for inverse functions

02Derive the derivatives of arcsin, arccos, and arctan

03Explain why inverse trig derivatives contain no trig