What is (\partial)/(\partial x)(sqrt(yx)) ?

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

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(\partial)/(\partial x)(sqrt(yx))

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

\frac{y}{2 x}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{y}{2 x}

\frac{\partial}{\partial x} (3 y)

\int \frac{9}{x} d x

\frac{d}{d x} (x ln (2))

\frac{\partial}{\partial x} (x yz - tan (x + y + z))

n = 1 \sum \infty \frac{2}{n ^{2} - 1}

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