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Ch 27: GACE Math: Calculating Derivatives & Derivative Rules

About This Chapter

Watch these entertaining and effective videos to master the derivatives rules and calculation methods Georgia educators have to be prepared to teach. If you need any GACE Math preparation advice or have questions about the chapter, please ask our instructors for guidance.

GACE Math: Calculating Derivatives & Derivative Rules - Chapter Summary

As you work through the fun-sized video lessons and companion transcripts in this chapter, you'll master derivatives rules and calculations for your GACE Math assessment. These lessons demonstrate:

  • How to use limits for derivative calculations
  • Linear properties of derivatives
  • Use of the chain rule for complex functions
  • How to differentiate factored polynomials
  • Appropriate use of the quotient rule

Practice makes perfect, so don't skip out on the lesson quizzes. They'll help you cement your understanding of the derivatives techniques in this chapter and let you see which topics require further study.

5 Lessons in Chapter 27: GACE Math: Calculating Derivatives & 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 GACE Mathematics (522): Practice & Study Guide course

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