differentiation

Question: If $z={{\sin }^{-1}}\left( \frac{x+y}{\sqrt{x}+\sqrt{y}} \right)$, then $x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}$ is equal to



1) $\frac{1}{2}\sin z$
2) $\frac{1}{2}\tan z$
3) $0$
4) None of these
Solution: Explanation: No Explanation
Partial differentiation

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