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

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

A

local maximum at `x = pi/2`

B

local minimum at `x =pi/2`

C

absolute minimum at `x =0,pi`

D

absolute maximum at `x=pi/2`

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The correct Answer is:
A, C, D
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