Explanation Given information: The statement “If f is increasing at all points to the left of p and decreasing at all points to the right of p then f has a local maximum at p ” A local maximum point on a function is a point ( p , f ( p ) ) on the graph of the function whose y coordinate is larger than all other y coordinates on the graph at points "close to'' ( p , f ( p ) ) . More precisely, ( p , f ( p ) ) is a local maximum if there is an interval ( a , b ) with a < p < b and f ( p ) ≥ f ( x ) for every x in ( a , b )

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 4, Problem 4SYU

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Whether the statement is true or false.

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Chapter 4, Problem 3SYU

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Chapter 4 Solutions

APPLIED CALCULUS (WILEY PLUS)

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To indicate: Whether the statement is true or false.

Solution Summary: The author explains that if f is increasing at all points to the left of p, and decreasing, then he has a local maximum.