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Suppose a differentiable function $f(x)$ satisfies the identity $f(x+y) = f(x) + f(y) + xy^2 + x^2y$, for all real $x$ and $y$. If $\lim_{x \to 0} \frac{f(x)}{x} = 1$, then $f’(3)$ is equal to ______.
Type: Numerical
$f’(x) = (x^2 + 1) \Rightarrow f’(3) = 10$
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