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If f(x) is a function such that f'(x)=(x...

If f(x) is a function such that f'(x)=`(x-1)^2 (4-x)`, then

A

f(0)=0

B

f(x) is increasing in (0,3)

C

x=4 is a critical point of f(x)

D

f(x) is decereasing in (3,5)

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B, C
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