JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

u = {\sin ^{ - 1}}\left( {\frac{x}{y}} \right) + {\tan ^{ - 1}}\left( {\frac{y}{x}} \right),

then the value of

x\frac{{\partial u}}{{\partial x}} + y\frac{{\partial u}}{{\partial y}}

View answer and explanation

Correct option: A

Option A (0) is correct because the expression is a homogeneous function of degree 0, and therefore, by Euler's theorem,

x\frac{{\partial u}}{{\partial x}} + y\frac{{\partial u}}{{\partial y}} = 0

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