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 $y . \lim _{x \rightarrow 0} \frac{f(x)}{x}=1$, If then $f^{\prime}(3)$ is equal to $\_\_\_\_$ .
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