Ch 20: Derivatives and Graphs

About This Chapter

Use our video lessons to learn about derivatives and graphs and provide math instruction to students in grades 7-12. Find out how to graph the derivative of a function and calculate minimum and maximum values.

Derivatives & Graphs - Chapter Summary

The primary purpose of this chapter is to show you how to use the first and second derivatives to analyze the graph of a mathematical function, including concavity, local extrema and points of inflection. At the beginning of the lesson, the instructor will show you how to graph the derivative, or the relationship between mathematical input and output, for any function and based solely on the diagram. You'll also learn about the rules of derivation and discontinuous derivatives.

As the chapter progresses, the instructor will discuss the concept of concavity, or lines that curve up or down. You'll also have the chance to learn about inflection points, whereby the second derivative of a function equals zero. When you complete the chapter, you should also:

  • Understand non-differentiable graphs of derivatives
  • Know how to calculate maximum and minimum values of a graph
  • Be able to use differentiation to determine maximum and minimum values
  • Understand concavity and inflection points on a graph and with differentiation

Our clear and concise video lessons on derivatives and graphs use easy-to-understand graphics and language to explain complex concepts. Taught by experienced, professional instructors with an in-depth knowledge of the subject, they provide busy learners with an efficient way to acquire new, and sometimes daunting, information. In addition to the videos, you'll also have access to lesson transcripts and online self-assessment quizzes. No matter how many times you may need to review a key point in the lesson, the video tags will allow you to revisit it as often as you wish, without having to re-run the entire presentation.

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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