Ch 9: Derivative Rules

About This Chapter

This entire chapter will help you study information related to derivative rules. Learn about graphical representations and higher order derivatives. The video lessons and self-assessment quizzes can be used to help you complete your homework assignments and supplement your class materials.

Derivative Rules - Chapter Summary

If you need to brush up on derivative rules, this chapter is designed to help you recall that information with easy-to-understand and bite-size lessons. You will study information about the relationship between the derivative and Super C, discover how constant multiples and additions relate to derivatives and find out how to calculate the derivative. By the time you reach the end of these lessons, you should be ready to:

  • Identify how to find the slope of a function
  • Explore how to graph the derivative on a graph of a function
  • Describe the rate of change
  • Explain the quotient rule and its use

By reviewing these topics, which are presented to you in an organized and engaging manner, you could become more prepared to solve derivative problems on your own. The video lessons are short and informative. Each lesson is between five to ten minutes long, and each has multiple-choice quizzes so that you can test yourself on what you are learning. That way you can find out what your weak areas are, then go back to the lessons and re-study the material.

7 Lessons in Chapter 9: Derivative Rules
Test your knowledge with a 30-question chapter practice test
Derivatives: The Formal Definition

1. Derivatives: The Formal Definition

The derivative defines calculus. In this lesson, learn how the derivative is related to the instantaneous rate of change with Super C, the cannonball man.

The Linear Properties of a Derivative

2. The Linear Properties of a Derivative

In this lesson, learn two key properties of derivatives: constant multiples and additions. You will 'divide and conquer' in your approach to calculating the limits used to find derivatives.

Using Limits to Calculate the Derivative

3. Using Limits to Calculate the Derivative

If you know the position of someone as a function of time, you can calculate the derivative -- the velocity of that person -- as a function of time as well. Use the definition of the derivative and your knowledge of limits to do just that in this lesson.

Derivatives: Graphical Representations

4. Derivatives: Graphical Representations

Take a graphical look at the definitive element of calculus: the derivative. The slope of a function is the derivative, as you will see in this lesson.

Graphing the Derivative from Any Function

5. Graphing the Derivative from Any Function

When you know the rules, calculating the derivates of equations is relatively straightforward, although it can be tedious! What happens, though, when you don't know the function? In this lesson, learn how to graph the derivative of a function based solely on a graph of the function!

Understanding Higher Order Derivatives Using Graphs

6. Understanding Higher Order Derivatives Using Graphs

The derivative is a rate of change, like velocity. What happens, though, when your velocity - that is, your rate of change - is changing? Explore the changing changes in this lesson.

When to Use the Quotient Rule for Differentiation

7. When to Use the Quotient Rule for Differentiation

Lo D Hi minus Hi D Lo, all over the square of what's below! Learn the quotient rule chant for differentiating functions that take the form of fractions in this lesson.

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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