Ch 27: ORELA Math: Calculating Derivatives & Derivative Rules

About This Chapter

The ORELA Mathematics exam has been replaced with the NES Mathematics certification exam. As you prepare to take the NES Mathematics exam, use this chapter to review the steps and rules followed when calculating derivatives.

ORELA Mathematics: Calculating Derivatives & Derivative Rules - Chapter Summary

Watch the series of lesson videos in this chapter to review the steps involved in calculating derivatives. These lesson videos are taught by professional instructors who are available to answer any questions you may have so that you may master the material presented and improve your abilities calculating derivatives. After this chapter you should be prepared to answer questions on the ORELA Mathematics exam about:

  • Using limits to calculate derivatives
  • Linear properties of derivatives
  • Differentiating complex functions with the chain rule
  • Using the product rule and expansion when differentiating factored polynomials
  • Uses of the quotient rule

Fortify your abilities calculating derivatives by completing the lesson worksheets and quizzes of the chapter. Using the results of your lesson quizzes, find areas you could improve and improve upon them by going back to the lesson videos or reading over the lesson transcripts. When going back to the lesson videos, use video tags to go directly to the locations in the videos that discussed the topics you need to review.

5 Lessons in Chapter 27: ORELA 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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the ORELA Mathematics: Practice & Study Guide course

Support