Assume the functions below are continuous with domain all real numbers. (a) If f'(a) = 0, then x = a must be a local minimum or local maximum of f. O True O False (b) If g'(a) is undefined, then x = a could be a local maximum or local minimum of g. O True O False

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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Assume the functions below are continuous with domain all real numbers.
(a) If f'(a) = 0, then x = a must be a local minimum or local maximum of f.
O True
False
(b) If g'(a) is undefined, then x = a could be a local maximum or local minimum of g.
O True
O False
Transcribed Image Text:Assume the functions below are continuous with domain all real numbers. (a) If f'(a) = 0, then x = a must be a local minimum or local maximum of f. O True False (b) If g'(a) is undefined, then x = a could be a local maximum or local minimum of g. O True O False
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