Login
Copyright

Ch 28: NES Math: Graphing Derivatives

About This Chapter

Brush up on your understanding of derivatives and recall the process of graphing them in preparation for the NES Math test. This chapter of our study guide offers comprehensive lessons, multiple-choice quizzes and other aids for study that cover all the topics on this part of the NES test.

NES Math: Graphing Derivatives - Chapter Summary

Watch the lessons in this chapter to review information about graphs of derivatives as you prepare for the NES Math test. Snappy videos, short quizzes and other study tools will help you tackle test questions on topics such as:

  • How to graph the derivative of any function
  • Non-differentiable graphs
  • The maximum and minimum values of a graph
  • How to use differentiation to find maximum and minimum values
  • Concavity and inflection points

These video lessons average about five minutes in length, and are available anywhere via computer, smartphone or tablet. Our expert instructors have developed lively lessons that make learning fun, and you can contact them if you have questions. Every lesson is followed by a short quiz that lets you assess your learning, and there is a comprehensive exam at the end of the chapter.

NES Math: Graphing Derivatives Chapter Objectives

Five states use the NES Math test as one of the requirements for certification to teach math at the secondary level. The test is divided into five content domains, and questions on graphing derivatives are in the section on trigonometry and calculus, which accounts for 19% of the test's total score. All questions are multiple-choice. Our quizzes offer a chance to practice answering questions in this format, in addition to offering an evaluation of how well you are prepared for the test.

6 Lessons in Chapter 28: NES Math: Graphing Derivatives
Graphing the Derivative from Any Function

1. Graphing the Derivative from Any Function

When you know the rules, calculating the derivates of equations is relatively straightforward, although it can be tedious! What happens, though, when you don't know the function? In this lesson, learn how to graph the derivative of a function based solely on a graph of the function!

Non Differentiable Graphs of Derivatives

2. Non Differentiable Graphs of Derivatives

When I walk along a curve, I stand normal to it. That is, I stand perpendicular to the tangent. Learn how to calculate where I'm standing in this lesson.

How to Determine Maximum and Minimum Values of a Graph

3. How to Determine Maximum and Minimum Values of a Graph

What is the highest point on a roller coaster? Most roller coasters have a lot of peaks, but only one is really the highest. In this lesson, learn the difference between the little bumps and the mother of all peaks on your favorite ride.

Using Differentiation to Find Maximum and Minimum Values

4. Using Differentiation to Find Maximum and Minimum Values

If you are shot out of a cannon, how do you know when you've reached your maximum height? When walking through a valley, how do you know when you are at the bottom? In this lesson, use the properties of the derivative to find the maxima and minima of a function.

Concavity and Inflection Points on Graphs

5. Concavity and Inflection Points on Graphs

You might not think of a cup when you think of an awesome skateboard ramp. But I'm sure a really bad ramp would give you a frown, right? Learn about cups and frowns in this lesson on concavity and inflection points.

Understanding Concavity and Inflection Points with Differentiation

6. Understanding Concavity and Inflection Points with Differentiation

Put a little more meaning behind those cups and frowns. In this lesson, use the second derivative of a function to determine if it is concave up or concave down.

Earning College Credit

Did you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 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 NES Mathematics (304): Practice & Study Guide course

Support