Explanation Concept used: The function value f ( a ) is a local maximum value of the function f ( x ) if f ( a ) ≥ f ( x ) . Here, x is the nearest point of the a . Then, the function f ( x ) has a local maximum at x = a . The function value f ( a ) is a local minimum value of the function f if f ( a ) ≤ f ( x ) . Then, the function f ( x ) has a local minimum at x = a . Calculation: Consider a absolute value function f ( x ) = | sin x | . f ( x ) = | sin x | The graph of function f ( x ) = | sin x | is shown in Figure 1.

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 4.3, Problem 6PQ

To determine

To find:

The absolute value function that has infinitely many local maxima such that f′=0 and has infinitely local minima such that f′ does not defined.

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Chapter 4.3, Problem 5PQ

Chapter 4.3, Problem 1E

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Chapter 4 Solutions

Calculus: Early Transcendentals

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The absolute value function that has infinitely many local maxima such that f ′ = 0 and has infinitely local minima such that f ′ does not defined.

Solution Summary: The author explains the absolute value function f(a), which has infinitely many local maxima, and its local minima.

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To find:

The absolute value function that has infinitely many local maxima such that f′=0 and has infinitely local minima such that f′ does not defined.

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Chapter 4 Solutions

The absolute value function that has infinitely many local maxima such that f ′ = 0 and has infinitely local minima such that f ′ does not defined.

Solution Summary: The author explains the absolute value function f(a), which has infinitely many local maxima, and its local minima.

Concept explainers

Videos

To find: The absolute value function that has infinitely many local maxima such that f′=0 and has infinitely local minima such that f′ does not defined.

Want to see the full answer?

Chapter 4 Solutions

To find:

The absolute value function that has infinitely many local maxima such that f′=0 and has infinitely local minima such that f′ does not defined.