If the slope of tangent to a curve y=f(x...

If the slope of tangent to a curve `y=f(x)` is maximum at `x=1` and minimum at `x=0`, then equation of the curve which also satisfies `(d^3y)/dx^3=4x-3`, is (A) `y=x^4/6-x^3/2+x^2/2+1` (B) `y=x^4/4+x^3-x^2/3+1` (C) `y=x^4/4-x^3/7+x^2/3+3` (D) none of these

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