Ch 28: OAE Mathematics: Graphing Derivatives

About This Chapter

Prepare for questions about graphing derivatives on the OAE Mathematics by viewing these lessons. In this chapter, review how to find the minimum value, maximum value and inflection points of graphical representations of derivatives.

OAE Mathematics: Graphing Derivatives - Chapter Summary

To aid in your preparation for the Ohio Assessments for Educators (OAE) Mathematics, this chapter reviews the components of graphs of derivatives. If at any time you become confused about a topic be sure to send your questions to our instructors so that you may master the material on:

  • Derivative graphs
  • Non differentiable graphs
  • Maximum and minimum values of graphs
  • Concavity and inflection points

After watching these videos, complete the lesson quizzes to reinforce your comprehension of the material presented and find topics you didn't master. Go back to the lesson videos to fortify your understanding of these topics with video tags. These video tags can take you directly to the spots in the lessons that explained the topics you need to review and skip over topics you don't. As an alternative way of reviewing material try reading the text transcripts which will give you a written overview of the information.

OAE Mathematics: Graphing Derivatives Chapter Objectives

OAE Mathematics is a computer-based certification exam composed of 150 multiple-choice questions and is administered in a 255 minutes testing session. Of the questions on this exam, 19% percent fall in the Trigonometry and Calculus domain area. Prepare for some of the questions in this domain to ask about graphing derivatives by watching the videos in this chapter and completing the activities that accompany them.

6 Lessons in Chapter 28: OAE Mathematics: Graphing Derivatives
Test your knowledge with a 30-question chapter practice test
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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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