What is (\partial)/(\partial v)(sqrt(uv)) ?

The answer to (\partial)/(\partial v)(sqrt(uv)) is (sqrt(u))/(2sqrt(v))

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(\partial)/(\partial v)(sqrt(uv))

\frac{\partial}{\partial v} (uv)

\frac{u}{2 v}

Solution steps

\frac{\partial}{\partial v} (uv)

Treat

u

as a constant

Apply the chain rule:

\frac{1}{2 uv} \frac{\partial}{\partial v} (uv)

= \frac{1}{2 uv} \frac{\partial}{\partial v} (uv)

\frac{\partial}{\partial v} (uv) = u

= \frac{1}{2 uv} u

Simplify

\frac{1}{2 uv} u : \frac{u}{2 v}

= \frac{u}{2 v}

\frac{\partial}{\partial z} (2 x^{4} y z^{3})

\frac{d}{d x} (\frac{3}{4 x ^{8}})

x y^{^{'}} + y = 6 x y^{2}, y (1) = - 4

1 - 2 sin^{3} (x)

\int \frac{x ^{3}}{e ^{x}} d x

What is (\partial)/(\partial v)(sqrt(uv)) ?
The answer to (\partial)/(\partial v)(sqrt(uv)) is (sqrt(u))/(2sqrt(v))