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Let the function f (x) be defined as fol...

Let the function f (x) be defined as follows : `f(x)={{:(x^(3)+x^(2)-10x",",-1lexlt0),(cosx",",0lexlt(pi)/(2).),(1+sinx",",(pi)/(2)lexlepi):}`Then f(x) has

A

a local minimum at `x=(pi)/(2)`

B

a global maximum at `x=(pi)/(2)`

C

an absolute maximum at x=-1

D

an absoute maximum at `x=pi`

Text Solution

Verified by Experts

The correct Answer is:
C
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