Ch 27: AEPA Math: Derivative Rules

About This Chapter

Arizona has replaced the AEPA examination with the National Evaluation Series examination. Through this chapter's online video lessons, you can re-examine the ways in which derivatives are used in calculus as you prepare to pass the examination.

AEPA Math: Derivative Rules - Chapter Summary

This chapter's online video lessons feature concepts related to implicit functions, the quotient rule, the distributive type rule and the graphing of polynomials. Review what you've already covered and learn processes you hadn't studied previously in preparation for the AEPA Math examination. This chapter can help you with:

  • Calculating the derivative by using limits
  • Discovering the properties of derivatives
  • Simplifying complex functions through the use of the chain rule
  • Solving equations by using the product rule
  • Differentiating functions using the quotient rule

These brief educational lessons include some of the topics you'll find on the AEPA Math examination. Presented by experienced instructors, the lessons illustrate the above concepts in ways that make learning fun. Study at your own pace, refer to the text transcripts for clarification of any material or submit your questions to the instructor. When you're ready, take the self-assessment quizzes and the chapter examination to see how far you've progressed.

5 Lessons in Chapter 27: AEPA Math: Derivative Rules
Test your knowledge with a 30-question chapter practice test
Using Limits to Calculate the Derivative

1. 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.

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 the Chain Rule to Differentiate Complex Functions

3. Using the Chain Rule to Differentiate Complex Functions

If you've ever seen a complicated function, this lesson is for you. Most functions that we want to differentiate are complicated functions, for which no single derivative rule will work. In this lesson, learn how to use the chain rule to simplify nesting equations.

Differentiating Factored Polynomials: Product Rule and Expansion

4. Differentiating Factored Polynomials: Product Rule and Expansion

Most functions that we want to differentiate are complicated functions for which no single derivative rule will work. In this lesson, learn what happens to derivatives when you multiply functions together.

When to Use the Quotient Rule for Differentiation

5. 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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Other Chapters

Other chapters within the AEPA Mathematics (NT304): Practice & Study Guide course

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