Extreme Values of Functions

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Presentation transcript:

Extreme Values of Functions Chapter 5 Applications of Derivatives Section 5.1 Extreme Values of Functions

Quick Review

Quick Review

Quick Review Solutions

Quick Review Solutions

What you’ll learn about Absolute (Global) and Local (Relative) Extrema The Extreme Value Theorem Using the derivative to find extrema …and why Finding maximum and minimum values of a function, called optimization, is an important issue in real-world problems.

Absolute Extreme Values

The Extreme Value Theorem

Classifying Extreme Values

Local Extreme Values

Local Extreme Values

Critical Point

Stationary Point

Example Finding Absolute Extrema

Example Finding Extreme Values