(Steps Shown) Let f(x,y)=x^3+3x^2y+4xy^2+2y^3 Prove that: x(∂ f)/(∂ x)+y(∂ f)/(∂
Question: Let \(f\left( x,y \right)={{x}^{3}}+3{{x}^{2}}y+4x{{y}^{2}}+2{{y}^{3}}\)
Prove that:
\[x\frac{\partial f}{\partial x}+y\frac{\partial f}{\partial y}=3f\]
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