# How to Use the Second Derivative Test

Instructions:

question 1 of 3

### Which of the following statements are true?

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### 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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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