Ch 28: TExMaT Master Mathematics Teacher 8-12: Graphing Derivatives

About This Chapter

Take another look at graphs of derivatives with these fun video lessons and quizzes. Instructors discuss inflection points, concavity and the applications of derivatives to get you ready for these types of questions on the TExMaT Master Mathematics Teacher 8-12 exam.

TExMaT Master Mathematics Teacher 8-12: Graphing Derivatives - Chapter Summary

Review the steps involved in graphing and analyzing the derivative of a function with lessons in this TExMaT chapter. Instructors discuss the following topics:

  • Graphs of a function's derivative
  • Non differentiable graphs of derivatives
  • Minimum and maximum values
  • Concavity and inflection points

These convenient, self-paced study materials make it easy to prepare for your Master Mathematics Teacher certification exam for grades 8-12. Watch the short videos to find out which derivative topics are covered on the test, and take the multiple-choice quizzes to gauge your understanding of the problem-solving strategies discussed in the lessons.

TExMaT Master Mathematics Teacher 8-12: Graphing Derivatives - Chapter Objectives

In Texas, experienced secondary school math teachers can sit for the TExMaT Master Mathematics Teacher 8-12 exam. Responses to the multiple-choice questions and case study assignment are used to determine applicants' preparedness to fulfill teacher mentoring roles within the school system.

Around 16% of exam content will measure your skills in the areas of precalculus and calculus. Use the lessons in this chapter to prepare for questions asking you to find a function's concavity and points of inflection or determine the rate of change.

6 Lessons in Chapter 28: TExMaT Master Mathematics Teacher 8-12: 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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Other Chapters

Other chapters within the TExMaT Master Mathematics Teacher 8-12 (089): Practice & Study Guide course

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