# Lesson Plan: Differentiation of Exponential Functions Mathematics

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

#### Objectives

Students will be able to

• differentiate exponential functions from first principles,
• differentiate exponential functions where the base is Euler’s number,
• differentiate exponential functions where the base is a constant,
• differentiate exponential functions with linear exponents,
• differentiate exponential functions with quadratic exponents,
• use the chain, product, and quotient rules for differentiation in order to differentiate exponential functions,
• evaluate the differential of an exponential function at a given point.

#### Prerequisites

Students should already be familiar with

• the chain, product, and quotient rules of differentiation,
• differentiating trigonometric functions.

#### Exclusions

Students will not cover

• differentiation of logarithmic functions.