Let f(x) be a polynomial of degree 4 on...

Let `f(x)` be a polynomial of degree 4 on R such that `lim_(x->1) (f(x))/(x-1)^2=1`If `f'(0)=-6 and f'(2)=6`, then find global maximum value of `f(x)` in `[1/2,2]`.

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