Lesson 21

10/1/2001


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Table of Contents

Lesson 21

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Increasing / Decreasing Functions

EXAMPLE

MVT Corollary 3: The First Derivative Test for Increasing and Decreasing

PROOF

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EXAMPLE

SOLUTION...

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The First Derivative Test for Local (Relative) Extrema

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EXAMPLE

SOLUTION...

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EXAMPLE

SOLUTION...

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EXAMPLE

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EXAMPLE

SOLUTION…

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Concavity

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The Second Derivative Test for Concavity

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Point of Inflection

NOTE

EX: Marginal cost...

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The Second Derivative Test for Local Extreme Values

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EXAMPLE

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Strategy for graphing y = f(x)

EXAMPLE

SOLUTION...

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Cusps...

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NOTE

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NOTE

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Efficiency of a Factory Worker

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EXAMPLE

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…SOLUTION

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NOTE

EXAMPLE

SOLUTION...

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MATH 1910

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