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Let f: R rarr R be a differentiable func...

Let `f: R rarr R` be a differentiable function satisfying `f(x+y)=f(x)+f(y)+x^(2)y+xy^(2)` for all real numbers x and y. If `underset(xrarr0)lim(f(x))/(x)=1,` then
The value of f'(3) is

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