Explanation Given information: The function f is defined for all x. The graph of f ' is given by Definition used: The function f is increasing where f ' ( x ) > 0 , the function f is decreasing where f ' ( x ) < 0. Calculation: The graph of f ' is given by To determine (b) To find: The local maxima and local minima of f .

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 4.1, Problem 38P

To determine

(a)

To find:

The interval over which f is increasing and f is decreasing.

To determine

(b)

To find:

The local maxima and local minima of f.

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Chapter 4.1, Problem 37P

Chapter 4.1, Problem 39P

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Chapter 4 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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(a) To find: The interval over which f is increasing and f is decreasing.

Solution Summary: The author explains that the function f is defined for all x. The graph shows that if a function is increasing or decreasing, it has local maxima and local minima.