GACE Math: Graphing Derivatives - Videos & Lessons

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

Chapter Practice Test

Test your knowledge with a 30-question chapter practice test

Take Practice Test

View all practice tests in this course

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!

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.

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.

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.

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.

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

Take Practice Test

Other Practice Exams in this course

Practice Final Exam

Test your knowledge of the entire course with a 50 question practice final exam.

Not Taken

Take Practice Test

View all practice tests in this course

Description

Summary:

Visit the GACE Mathematics (522): Practice & Study Guide page to learn more.

Earning Credit

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.