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Let f(x)=int0^xe^(-t^2)(t-5) (t^2-7t+12)...

Let `f(x)=int_0^xe^(-t^2)(t-5) (t^2-7t+12) dt ` for all `x in (0, oo)` then (A) f has a local maximum at `x = 4` and a local minimum at `x=3` (B) f is decreasing on `(3,4)(5, oo)` and increasing on `(0,3) (4,5)`. (C) There exists atleast two `c_1, c_2 in (0, oo)` such that `f"(c_1)=0` and `f"(c_2)=0`. (D) There exists some `c in (0, oo)` such that `f"'(c) = 0`

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