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If f(x) = int(0)^(x) e^(t^(2)) (t-2) (t-...

If `f(x) = int_(0)^(x) e^(t^(2)) (t-2) (t-3) dt` for all `x in (0, oo)` , then

A

f has a local maximum at `x = 2`

B

f is decreasing on `(2,3)`

C

there exists some `c in (0, oo)` such that `f"(c ) = 0`

D

f has a local minimum at `x = 3`

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The correct Answer is:
A, B, C, D
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