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

Let the function `f(x)` be defined as follows:
`f(x)={(x^(3)+x^(2)-10x,-1le x le 0),(cosx,0lexlepi//2),(1+sin x, pi//2 lexlepi):}`

A

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

B

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

C

a absolute maximum at x=-1

D

a absolute maximum at x=`pi`

Text Solution

Verified by Experts

The correct Answer is:
C

Thus the graph of `f(x)` is
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