Let f(x) be a smooth and continuous function. If f(x) has a local maximum at a = a, then whic of the following notationally describes this situation? O f'(a)>0; f(a) > 0 O f'(a)>0; f" (a) = 0 O f'(a)= 0; f" (a) > 0 O f'(a) = 0; O f'(a)>0; O f'(a) <0; f" (a) <0 f" (a) < 0 f" (a) < 0

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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Let f(x) be a smooth and continuous function. If f(x) has a local maximum at a = a, then which
of the following notationally describes this situation?
O f'(a)>0; f(a) > 0
O f'(a)>0; f" (a) = 0
O f'(a)= 0;
f" (a) > 0
O f'(a) = 0;
O f'(a)>0;
O f'(a) <0;
< Previous
LI
f" (a) <0
f" (a) < 0
f" (a) <0
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Transcribed Image Text:Let f(x) be a smooth and continuous function. If f(x) has a local maximum at a = a, then which of the following notationally describes this situation? O f'(a)>0; f(a) > 0 O f'(a)>0; f" (a) = 0 O f'(a)= 0; f" (a) > 0 O f'(a) = 0; O f'(a)>0; O f'(a) <0; < Previous LI f" (a) <0 f" (a) < 0 f" (a) <0 @ Not saved Next ▸ Submit Quiz
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