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# Unit 5: Applying derivatives to analyze functions

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The first and the second derivative of a function give us all sorts of useful information about that function's behavior. The first derivative tells us where a function increases or decreases or has a maximum or minimum value; the second derivative tells us where a function is concave up or down and where it has inflection points.

## Using the mean value theorem

#### Quiz 1

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## Using the candidates test to find absolute (global) extrema

### Practice

#### Quiz 2

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## Sketching curves of functions and their derivatives

#### Quiz 3

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## Connecting a function, its first derivative, and its second derivative

#### Quiz 4

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## Calculator-active practice

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### Practice

#### Quiz 5

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#### Unit test

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