The function f(x)= _ -1 ^ x t(e^t-1)(t-2)^3(t-3)^5 ,dt has a local minimum at x which is equal to

JEE Advanced Mathematics question

The function has a local minimum at which is equal to

Answer: (D)

. Critical points: .

- for all (both factors have the same sign), vanishing only at ; so does **not** change sign at — no extremum there. -

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Question ID VK-109569