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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 decreasing in (3, 5)

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