If u - sin-x - -y then find -x- u- x - -y- u- y-

u=sin (√(x)+√(y)) ∂ u∂ x=cos (√(x)+√(y))12√(x) ∂ u∂ y=cos (√(x)+√(y))12√(y) Hence, √(x)∂ u∂ x √(y)∂ u∂ y=12cos (√(x)+√(y)) 12cos (√(x)+√(y))= ...

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Differentiation Using Substitution

If u = sin√...

Question

If $u = sin (\sqrt{x} + \sqrt{y})$ then find $\sqrt{x} \frac{\partial u}{\partial x} - \sqrt{y} \frac{\partial u}{\partial y}$ .

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