If \(u = log\left( {\frac{{{x^2} + {y^2}}}{{x + y}}} \right)\), what is the value of \(x\frac{{\partial u}}{{\partial x}} + y\frac{{\partial u}}{{\partial y}}?\)

If \(u = log\left( {\frac{{{x^2} + {y^2}}}{{x + y}}} \right)\), what

1.	If \(u = log\left( {\frac{{{x^2} + {y^2}}}{{x + y}}} \right)\), what is the value of \(x\frac{{\partial u}}{{\partial x}} + y\frac{{\partial u}}{{\partial y}}?\)
A.	0
B.	1
C.	u
D.	eu
Answer» C. u

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If \(u = \log \left( {\frac{{{x^2} + {y^2}}}{{x + y}}} \right)\) then \(x\frac{{\partial u}}{{\partial x}} + y\frac{{\partial u}}{{\partial x}}\) is equal to –

If \(u = log\left( {\frac{{{x^2} + {y^2}}}{{x + y}}} \right)\), what is the value of \(x\frac{{\partial u}}{{\partial x}} + y\frac{{\partial u}}{{\partial y}}?\)

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