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Ch 27: OAE Mathematics: Derivative Rules

About This Chapter

If you've got an OAE Mathematics exam coming up, use these short, entertaining videos to study derivatives rules. Lessons cover the concepts you'll likely see on the exam. If you have questions about derivatives rules, be sure to submit them to our instructors.

OAE Mathematics: Derivative Rules - Chapter Summary

These quick, engaging video lessons outline the derivatives rules you're expected to know for the OAE Mathematics certification test. Each video has a companion transcript that presents the most important ideas in bold. As you work through this chapter, you will review:

  • How to use limits to calculate derivatives
  • Linear properties of derivatives
  • The chain rule for differentiating complex functions
  • How to differentiate factored polynomials
  • Appropriate use of the quotient rule

Educators who are serious about mastering these concepts will not stop at the videos. If you are dedicated to acing your OAE, make sure to take the lesson quizzes so you can practice using the derivatives rules illustrated in the videos.

Objectives of the OAE Mathematics: Derivative Rules Chapter

The resources in this chapter are designed to help serious educators master the derivatives rules necessary for OAE math certification. Educators who truly want to master the exam will make use of them all. The videos are a great way to review the ideas, but the practice you'll gain from the quizzes is invaluable to ensuring you'll remember them.

The 150 multiple-choice questions on the OAE Math certification exam cover five content domains, which are as follows: algebra, patterns and functions; trig and calculus; statistics, probability and discrete mathematics; geometry and measurement; and math processes and number sense. The first domain covers 24% of the test, and the remainder of the exam is divided equally between the remaining four domains. You'll have four and a quarter hours to complete the assessment.

5 Lessons in Chapter 27: OAE Mathematics: 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 Ohio Assessments for Educators - Mathematics (027): Practice & Study Guide course

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