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Ch 28: GACE Math: Graphing Derivatives

About This Chapter

View these brief, engaging videos to review the derivatives graphing concepts and techniques you'll need on the GACE exam for 6th-12th grade math educators. If you get stuck on any of the lessons, please ask our instructors for support.

GACE Math: Graphing Derivatives - Chapter Summary

This chapter uses a series of fun videos, most less than ten minutes in length, to cover the derivatives graphing ideas and methods you are expected to master for GACE certification. Lesson topics include:

  • How to graph function derivatives
  • Non-differentiable derivative graphs
  • Finding maximum and minimum graph values
  • Inflection points and graph concavity

Don't skip over the lesson quizzes; they provide a valuable chance to use the concepts and evaluate how well you understand the ideas. If you still have derivatives questions after working through the lessons, make sure to let our instructors know via the Teacher tab.

6 Lessons in Chapter 28: GACE Math: 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.
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 GACE Mathematics (522): Practice & Study Guide course

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