If u = \sin ^{−1}⁡ (\frac{x}{y}) + \tan ^{−1}⁡ (\frac{y}{x}), then the value of x\frac{\partialu}{\partialx} + y\frac{\partialu}{\partialy} is

AAI ATC Junior Executive 26 Dec 2015 Shift 2 Paper

Question : 93 of 120

Marks: +1, -0

u = sin \;^{−1}⁡ (\;{x}/{y}) + \tan ^{−1}⁡ (\;{y}/{x})

, then the value of

x\;{∂u}/{∂x} + y\;{∂u}/{∂y}

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