Question

if \(f(x)\) is a function such that \(f^{\prime}(x)=(x-1)^{2}(4-x)\), 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 \((3,5)\)
Ans: (B, C)

Answer 1

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