Ch 10: Graphing Derivatives and L'Hopital's Rule

Watch fun and engaging video lessons and learn about graphing derivatives, L'Hopital's rule and more. These lessons feature quick quizzes that help you gauge your comprehension of the materials.

Graphing Derivatives and L'Hopital's Rule - Chapter Summary and Learning Objectives

Put simply, calculus is the mathematical study of change. That can really come in handy when everything seems to be in flux all the time! When you graph derivatives, you visually represent a mathematical function as its input changes. In the real world, this can be used to calculate data like financial profit, value depreciation or energy efficiency - things you're probably going to want to know when you hit the job market. This series of lessons on graphing derivatives and L'Hopital's Rule will help you learn about the following:

• How to graph derivatives from any function
• What happens when kinks pop up in the process
• The maximum and minimum values of a graph
• Features like concavity and inflection points
• L'Hopital's rule and its applications

Video Objectives
Graphing the Derivative from Any Function See how to start with any function and graph the derivative.
Non-Differentiable Graphs of Derivatives Learn what happens at kinks.
How to Determine Maximum and Minimum Values of a Graph Discover how to determine maximum and minimum points and values on a graph.
Using Differentiation to Find Maximum and Minimum Values Learn to use differentiation to determine maximum and minimum points on a range.
Concavity and Inflection Points on Graphs See concavity and inflection points on a graph.
Understanding Concavity and Inflection Points with Differentiation Gain an understanding of how to use differentiation to determine concavity and inflection points.
Data Mining: Function Properties From Derivatives See an explanation of the properties of a function from its derivative.
Data Mining: Identifying Functions From Derivative Graphs Discover how to identify functions from derivative graphs.
What Is L'Hopital's Rule? Learn what L'Hopital's rule is and how it is used.
Applying L'Hopital's Rule in Simple Cases Explore the use of L'Hopital's rule for simple cases.
Applying L'Hopital's Rule in Complex Cases See how to apply L'Hopital's rule to complex cases.

11 Lessons in Chapter 10: Graphing Derivatives and L'Hopital's Rule
Test your knowledge with a 30-question chapter practice test
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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