If \({\rm{u}} = {\sin ^{ - 1}}(\frac{{{\rm{x + y}}}}{{\sqrt {\rm{x}} {\rm{ + }}\sqrt {\rm{y}} }})\) then by Euler's theorem, \({\rm{x}}\frac{{\partial {\rm{u}}}}{{\partial {\rm{x}}}} + {\rm{y}}\frac{{\partial {\rm{u}}}}{{\partial {\rm{y}}}}\) equals to

If \({\rm{u}} = {\sin ^{ - 1}}(\frac{{{\rm{x + y}}}}{{\sqrt {\rm{x}}

1.	If \({\rm{u}} = {\sin ^{ - 1}}(\frac{{{\rm{x + y}}}}{{\sqrt {\rm{x}} {\rm{ + }}\sqrt {\rm{y}} }})\) then by Euler's theorem, \({\rm{x}}\frac{{\partial {\rm{u}}}}{{\partial {\rm{x}}}} + {\rm{y}}\frac{{\partial {\rm{u}}}}{{\partial {\rm{y}}}}\) equals to
A.	\(\frac{1}{2}\sin {\rm{u}}\)
B.	\(\frac{1}{2}\tan {\rm{u}}\)
C.	x + y
D.	sin x + sin y
Answer» C. x + y

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