How to Use the Second Derivative Test


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question 1 of 3

Which of the following statements are true?

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1. For a function f(x), if f ' (c) = 0, then according to the second derivative test, which of the following statements are true?

2. The second derivative of the function g(x) = x4 - 32x - 1 is g ' ' (x) = 12x2. If g ' (2) = 0, use the second derivative test to determine if g(2) is a relative maximum, relative minimum, or neither.

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About This Quiz & Worksheet

Using the quiz and worksheet, you can check your understanding of using the second derivative test. You will be asked to work with different functions on the quiz.

Quiz & Worksheet Goals

The goal of these materials is to gauge your comprehension of:

  • Finding relative maximum and minimum points
  • The meaning of relative maximums and minimums
  • Using the second derivative test

Skills Practiced

If you go through the quiz and worksheet, you can practice the following skills:

  • Reading awareness - make sure that you know the most important information from the lesson on the second derivative test
  • Knowledge application - use your knowledge to answer questions about using the second derivative test with different functions
  • Remembering details - remember what you learned about relative maximum and minimum points

Additional Learning

How to Use the Second Derivative Test is a lesson that lets you review more topics, like:

  • The purpose of the second derivative test
  • How relative maximum points differ from minimum points
  • Inflection points