1.3 Exponential Functions

In this lesson, you will learn about exponential functions.

Lesson Objectives

• • Recognize the definition of the natural exponential function as the inverse of the natural logarithmic function.

  • Evaluate derivatives and integrals involving the natural exponential function.

  • Evaluate derivatives and integrals involving exponential functions with other bases.

Lesson Content

View all of the following instructional videos. These will help you master the objectives for this module.

• 1. The Exponential Function (definition of the number e, the inverse of lnx, the derivative of ex, integrals, other bases)

  2. YouTube video: Derivatives of Exponential Functions

• 1. YouTube video: Derivatives of Exponential Functions

• 1. YouTube videos: Integrals: Exponential Functions

  2. Example 1 and 2:

• 1. Example 3 and 4:

Lesson Readings

The following required readings cover the content for this module. As you go through each reading, pay close attention to the content that will help you learn the objectives for this module.

• 1. Derivatives of Logarithmic and Exponential Functions

  2. Derivatives of Exponential and Logarithm Functions

1. Exponential Functions: Differentiation and Integration

Lesson Practice Exercises/Activities

Make your way through each of the practice exercises. This is where you will take what you have learned from the lesson content and lesson readings and apply it by solving practice problems.

• 1. Exponential Functions

  2. Derivatives of Exponential and Logarithm Functions

  3. The Integration of Exponential Functions (problems with solutions)

Additional Resources

Below are additional resources that help reinforce the content for this module.

• 1. Exponential Functions