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Ch 13: Introduction to the Derivative

About This Chapter

Watch the following video lessons to learn about velocity, slopes and the rate of change. Each lesson is accompanied by a short multiple-choice quiz you can use to check your understanding of these derivatives topics.

Introduction to the Derivative - Chapter Summary and Learning Objectives

The lessons in this chapter can give you a basic understanding of derivatives and the rate of change. You'll learn how velocity, or the rate of change, is affected by the changes of another variable. These lessons will also teach you how the rate of change can be graphed as a slope. You will be introduced to the formal definition of a derivative and shown how to write derivative equations. This chapter includes video lessons that are designed to teach you the following:

  • How the rate of change is altered by variables
  • The relationship between rate of change and slopes
  • How to determine the rate of change from a graph
  • How to graph the rate of change
  • How to determine the tangent on a curve
  • The formal definition of derivatives and how they are used
  • How to write derivatives

Video Objective
Velocity and the Rate of Change Understand how velocity is the rate of change in a derivative. Review what types of variables can affect the rate of change and how to graph an inconsistent slope.
Slopes and the Rate of Change Learn how to depict the rate of change on a graph. This lesson covers how the slope is affected by the rate of change and how to identify the tangent on a curve.
Derivatives: The Formal Definition Define derivatives and learn how they are related to the rate of change. See how to write equations for derivatives using different variables.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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