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

If \[F(u)=f(x,\,y,\,z)\] be a homogeneous function of degree \[n\] in

1.	If \[F(u)=f(x,\,y,\,z)\] be a homogeneous function of degree \[n\] in \[x,\,y,\,z\] then \[x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}+z\frac{\partial u}{\partial z}=\]
A.	\[nu\]
B.	\[n\,F(u)\]
C.	\[\frac{n\,F(u)}{{F}'(u)}\]
D.	None of these
Answer» D. None of these

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

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