Lesson 8

7/12/04


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Table of Contents

Lesson 8

The Max-Min Theorem for Continuous Functions

NOTE

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NOTE

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Absolute Extreme Values

NOTE

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NOTE

EXAMPLE

EXAMPLE

EXAMPLE

EXAMPLE

Local Extreme Values

NOTE

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Extreme Value Property

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First Derivative Theorem for Relative Extreme Values

NOTE

Critical Point

SUMMARY

How to Find the Absolute Extrema of a Continuous Function f on a Closed Interval a < x < b

EXAMPLE

SOLUTION

GRAPH

EXAMPLE

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GRAPH

NOTE

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DEFINITION

EXAMPLE

SOLUTION...

…SOLUTION...

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NOTE

EXAMPLE

SOLUTION...

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The Second Derivative Test for Absolute Extrema

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EXAMPLE

SOLUTION...

SOLUTION...

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Marginal Analysis Criterion for Maximum Profit

Marginal Analysis Criterion for Minimal Average Cost

Demand vs. Price

Price Elasticity of Demand

EXAMPLE

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EXAMPLE

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MATH 1830

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