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If $f(x+y)=f(x)+f(y)+x^{2}y+yx^{2},\forall x,y\in R,$ and $\lim_{x\to0}\frac{f(x)}{x}=1$. Then $f'(3)$ is equal to}

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For functional equations, start with the first principles of differentiation.

Updated On: Jul 3, 2026

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The Correct Option is C

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