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 NES Mathematics (304): Practice & Study Guide
First Lesson 

Ch 27: NES Math: Derivative Rules

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About This Chapter

Refresh your understanding of the process of calculating derivatives, differentiating complex functions and using the quotient rule, and more as you prepare for the NES Math test. Our study guide provides several methods of getting ready for test questions on derivative rules.

NES Math: Derivative Rules - Chapter Summary

The lessons in this chapter review the properties of derivatives and calculations involving them. Our videos quizzes and other tools for study can help you brush up on topics for the NES Math test that include:

  • How to use limits to calculate the derivative
  • The linear properties of a derivative
  • How to use the chain rule to differentiate complex functions
  • How to differentiate factored polynomials
  • Ways to use the quotient rule for differentiation

Our instructors have created engaging and informative lessons covering topics you'll need to understand for success on the NES Math test. You can watch these short videos on a computer or mobile device and follow up with multiple-choice lesson quizzes that let you assess your knowledge. Every lesson includes a clickable Timeline with video links back to specific parts. This allows for quick review without having to re-watch the entire video.

NES Math: Derivative Rules Objectives

In several states, passing the NES Math test is a requirement for teacher certification in mathematics. The test is computer-delivered and consists of multiple-choice questions that are divided into five content domains. Questions on the material we cover in this Derivative Rules chapter are in the Trigonometry and Calculus content domain, which makes up 19% of the test's scoring. You can practice answering multiple-choice questions on this topic with the lesson quizzes and the chapter exam in this study guide.

5 Lessons in Chapter 27: NES Math: Derivative Rules
Chapter Practice Test
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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
Chapter Practice Exam
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Practice Final Exam
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