3.7 Derivatives of Inverse Functions

OpenStax Calculus Volume 1 — Section 3.7

Learning Objectives

  • State the inverse function theorem: \((f^{-1})'(x) = \frac{1}{f'(f^{-1}(x))}\)

  • Derive and memorize derivatives of \(\arcsin x\), \(\arccos x\), \(\arctan x\)

  • Differentiate expressions involving inverse trig functions

  • Apply these derivatives in combination with the chain rule

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.