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Chapter Four Applications of Differentiation. Copyright © Houghton Mifflin Company. All rights reserved. 4 | 2 Definition of Extrema.

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Presentation on theme: "Chapter Four Applications of Differentiation. Copyright © Houghton Mifflin Company. All rights reserved. 4 | 2 Definition of Extrema."— Presentation transcript:

1 Chapter Four Applications of Differentiation

2 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 2 Definition of Extrema

3 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 3 Definition of Relative Extrema

4 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 4 Definition of a Critical Number

5 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 5 Guidelines for Finding Extrema on a Closed Interval

6 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 6 Rolle's Theorem

7 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 7 The Mean Value Theorem

8 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 8 Definitions of Increasing and Decreasing Functions

9 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 9 Guidelines for Finding Intervals on Which a Function is Increasing or Decreasing

10 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 10 The First Derivative Test

11 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 11 Definition of Concavity

12 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 12 Definition of Point of Inflection

13 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 13 The Second Derivative Test

14 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 14 Definition of Limits at Infinity

15 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 15 Guidelines for Finding Limits at  Infinity of Rational Functions

16 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 16 Guidelines for Analyzing the Graph of a Function

17 Copyright © Houghton Mifflin Company. All rights reserved. 4 | 17 Guidelines for Solving Applied Minimum and Maximum Problems


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