Ch 27: NMTA Math: Derivative Rules

About This Chapter

Watch these lessons to refresh your knowledge of calculating derivatives and rules for differentiation as you study for the NMTA Math exam. These videos and quizzes offer a review that may help you correctly answer exam questions on these topics.

NMTA Math: Derivative Rules - Chapter Summary

Use this chapter's lessons to review information about calculating derivatives and the properties of derivatives to prepare you for the NMTA Math exam. These videos and quizzes go over the following topics that may help you correctly answer exam questions related to:

  • Calculating the derivative by using limits
  • Understanding the linear properties of a derivative
  • Differentiating complex functions with the chain rule
  • Using product rule and expansion to differentiate factored polynomials
  • Deciding when the quotient rule for differentiation is used

These brief video lessons simplify these topics and make preparing for the NMTA Math exam fun. You should get a solid understanding of these topics through our videos and quizzes.

Objectives of the NMTA Math: Derivative Rules Chapter

In New Mexico, teachers seeking certification to teach math must pass the NMTA Math exam. The material covered in this chapter is in the exam's subarea on trigonometry and calculus, which accounts for 19% of the exam.

All questions in the exam are multiple choice, like the questions on the quizzes included with each of our lessons. These quizzes allow you to assess your knowledge and also get experience answering exam questions in this format.

5 Lessons in Chapter 27: NMTA 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 within the NMTA Mathematics (304): Practice & Study Guide course

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