Ch 28: PLACE Mathematics: Graphing Derivatives & L'Hopital's Rule

About This Chapter

Reinforce your knowledge on the different components of graphical representations of derivatives. Review L'Hopital's Rule and how to graph derivatives by watching this series of lesson videos as you prepare for the PLACE Mathematics test.

PLACE Mathematics: Graphing Derivatives & L'Hopital's Rule - Chapter Summary

Prior to taking the PLACE Mathematics test, it would be beneficial for you to review L'Hopital's Rule and how to graph derivatives. In this chapter, our professional instructors demonstrate how to build representative graphs of derivatives and review the functions of the graphs' components. This review can prepare you for test question on:

  • Graphing derivatives from functions
  • Non-differentiable graphs of derivatives
  • Finding the maximum and minimum values of a graph
  • Concavity and inflection points of graphs

In addition to the videos in this chapter, complete the multiple-choice quizzes to help you further review the material and discover areas of weakness. Fortify these areas of weakness by going through video tags that link directly to main topics in the lesson videos or read over the transcripts if you want to review the material in a different format. At any point in time you become confused about a topic, submit a question to our instructors.

PLACE Mathematics: Graphing Derivatives & L'Hopital's Rule Chapter Objectives

The PLACE Mathematics exam is a four and a half hour, paper-based certification exam comprised of a set of multiple-choice questions. 19% of which are part of the calculus and discrete mathematics, section, which is where you may encounter the topics in this chapter. By watching the short lesson videos and taking the diagnostic quizzes in this chapter, you get a review for related questions on graphing derivatives.

6 Lessons in Chapter 28: PLACE Mathematics: Graphing Derivatives & L'Hopital's Rule
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.
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