Explanation Given information: The statement “If a function y = f ( x ) has f ' ( x ) < 0 for all x in the interval a ≤ x ≤ b , then the global maximum of f on this interval occurs at x = b ” Given that f ' ( x ) < 0 for all x in the interval a ≤ x ≤ b , it means that the function is decreasing in that interval. For a decreasing function, as x increases the f(x) will decrease. So at the end point the function will have global minimum of f on this interval occurring at x = b

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Differential Equations

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Chapter 4, Problem 25SYU

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Whether the statement is true or false.

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Chapter 4, Problem 24SYU

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Chapter 4 Solutions

EBK APPLIED CALCULUS, ENHANCED ETEXT

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To indicate: Whether the statement is true or false.

Solution Summary: The author explains that the statement "If a function y=f(x) has