What is (\partial)/(\partial y)(sqrt(xy)) ?

The answer to (\partial)/(\partial y)(sqrt(xy)) is (sqrt(x))/(2sqrt(y))

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(\partial)/(\partial y)(sqrt(xy))

\frac{\partial}{\partial y} (x y)

\frac{x}{2 y}

Solution steps

\frac{\partial}{\partial y} (x y)

Treat

x

as a constant

Apply the chain rule:

\frac{1}{2 x y} \frac{\partial}{\partial y} (x y)

= \frac{1}{2 x y} \frac{\partial}{\partial y} (x y)

\frac{\partial}{\partial y} (x y) = x

= \frac{1}{2 x y} x

Simplify

\frac{1}{2 x y} x : \frac{x}{2 y}

= \frac{x}{2 y}

x^{5} + y^{4} x^{6} + 5 y^{^{'}} = 0, y (0) = 0

\int sec (2 x) d x

y = 2 x^{3} - 2 x

(cos^{2} (x))^{^{'}}

(- 6, - 4), (- 4, 0)

What is (\partial)/(\partial y)(sqrt(xy)) ?
The answer to (\partial)/(\partial y)(sqrt(xy)) is (sqrt(x))/(2sqrt(y))