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If f(x)=xe^(x(1-x)), then f'(x) is...

If `f(x)=xe^(x(1-x)),` then f'(x) is

A

increasing in `[-1/2, 1]`

B

decreasing in `[-1,1/2]`

C

increasing in `[-1,1/2]`

D

decreasing in `[-1/2,1]`

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The correct Answer is:
A
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