Suppose a differentiable function f(x) satisfies the identity f(x+y)=f – InterviewSolution

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1.	Suppose a differentiable function f(x) satisfies the identity f(x+y)=f(x)+f(y)+xy2+x2y for all real x and y. If limx→0f(x)x=1, then f′(3) is equal to
Answer» Suppose a differentiable function $f (x)$ satisfies the identity $f (x + y) = f (x) + f (y) + x y^{2} + x^{2} y$ for all real $x$ and $y .$ If $lim x \to 0 \frac{f (x)}{x} = 1$ , then $f^{'} (3)$ is equal to

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