42 - Derivatives of Inverse Functions

How do we find the derivative of an inverse function?

Practice

5.3 # 5,9-12,43,71,77

Vocabulary

Horizontal line test, inverse function, $f^{-1}(x)$

Study Questions

1. How do we visually verify if a function has an inverse?
2. What is the association between the domain and range of a function and its inverse?
3. How do we compute the derivative of an inverse function at a point?

Resources

1. Slide Deck: Lesson-42-Derivatives-of-Inverse-Functions