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Let f(x)={{:(,x^(3)+x^(2)-10x,-1 le x lt...

Let `f(x)={{:(,x^(3)+x^(2)-10x,-1 le x lt 0),(,cos x,0 le x lt pi/2),(,1+sin x,pi/2 le x le x):}" Then at "x=pi/2`, f(x) has:

A

a local minimum

B

a local maximum

C

no extremum

D

no local maximum

Text Solution

Verified by Experts

The correct Answer is:
B
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