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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

f(x) has global minimum value -2

B

global maximum value occurs at x=0

C

global maximum value occurs at `x=pi`

D

`x=pi//2` is point of local minima

Text Solution

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The correct Answer is:
A, B, C, D
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