Unit 3 · Differentiation: Composite, Implicit, and Inverse Functions

Chapter 3.3

Derivatives of Inverse Functions

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

11–15 min · free · lesson 16 of 46

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By the end

  1. 01Use g'(x) = 1/f'(g(x)) for inverse functions
  2. 02Derive the derivatives of arcsin, arccos, and arctan
  3. 03Explain why inverse trig derivatives contain no trig

In unit 3

  1. 3.1The Chain Rule11–15
  2. 3.2Implicit Differentiation10–14
  3. 3.3Derivatives of Inverse Functions11–15
  4. 3.4The Complete Toolkit — and Higher Derivatives10–14
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