# Lesson Plan: Differentiation of Inverse Functions Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the derivatives of inverse functions.

#### Objectives

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.

#### Prerequisites

Students should already be familiar with

• the chain, product, and quotient rules for differentiation,
• differentiating polynomial, trigonometric, rational, and exponential functions.

#### Exclusions

Students will not cover

• derivatives of logarithmic functions in detail,
• derivatives of inverse trigonometric functions.