Categories > differentiation > Partial differentiation > If $F(u)=f(x,\,y,\,z)$ be a homogeneous function of degree $n$ in $x,\,y,\,z$ then $x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}+z\frac{\partial u}{\partial z}=$

differentiation

Question: If $F(u)=f(x,\,y,\,z)$ be a homogeneous function of degree $n$ in $x,\,y,\,z$ then $x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}+z\frac{\partial u}{\partial z}=$


1) $nu$
2) $n\,F(u)$
3) $\frac{n\,F(u)}{{F}'(u)}$
4) None of these
Solution: Explanation: No Explanation
Partial differentiation

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