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}

\int \frac{e ^{l n (1 - t)}}{1 - t} d t

x \to 4 + lim (\frac{x - 4}{∣ 4 - x ∣})

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

(2.2) (- 5.4)

\int e^{- x^{2}} x^{3} d x

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))