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If f is continuous on [a, b] such that the absolute maximum value of f on [a, b] equals the absolute minimum of f on [a, b], then ƒ' (x) = 0 for all ä such that a < x < b.

If f is continuous on [a, b] such that the absolute maximum value of f on [a, b] equals the absolute minimum of f on [a, b], then ƒ' (x) = 0 for all ä such that a < x < b.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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If f is continuous on [a, b] such that the absolute maximum value of f on [a, b] equals the absolute minimum of f on [a, b], then f'(x) - : 0 for all a such that a < x < b.
Transcribed Image Text:If f is continuous on [a, b] such that the absolute maximum value of f on [a, b] equals the absolute minimum of f on [a, b], then f'(x) - : 0 for all a such that a < x < b.
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