Lesson: Differentiation of Inverse Functions Mathematics

In this lesson, we will learn how to find the derivatives of inverse functions.

Lesson Plan

Students will be able to

understand that for a continuously differentiable function with nonzero derivative at a point , the derivative of the inverse function at is given by ,
use this equation to find derivatives of familiar inverse functions, such as the natural logarithm,
understand the statement of the inverse function theorem,
use the inverse function theorem to find derivatives of inverse functions when we do not have an explicit formula for the inverse function.