What is the d/(dy)(sqrt(xy)) ?

The d/(dy)(sqrt(xy)) is (sqrt(x))/(2sqrt(y))

What is the first d/(dy)(sqrt(xy)) ?

The first d/(dy)(sqrt(xy)) is (sqrt(x))/(2sqrt(y))

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

\frac{x}{2 y}

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

\frac{d}{d 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}

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

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

x \to 0 lim (- x^{3})

f (x) = x^{2} + 6

\int \frac{1}{y - y ln ( y )} d y

What is the d/(dy)(sqrt(xy)) ?
The d/(dy)(sqrt(xy)) is (sqrt(x))/(2sqrt(y))
What is the first d/(dy)(sqrt(xy)) ?
The first d/(dy)(sqrt(xy)) is (sqrt(x))/(2sqrt(y))