What is the d/(dy)(sqrt(y/5)) ?

The d/(dy)(sqrt(y/5)) is 1/(2sqrt(5)\sqrt{y)}

What is the first d/(dy)(sqrt(y/5)) ?

The first d/(dy)(sqrt(y/5)) is 1/(2sqrt(5)\sqrt{y)}

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\frac{d}{d y} (\frac{y}{5})

\frac{1}{2 5 y}

Solution steps

\frac{d}{d y} (\frac{y}{5})

Apply the chain rule:

\frac{1}{2 \frac{y}{5}} \frac{d}{d y} (\frac{y}{5})

= \frac{1}{2 \frac{y}{5}} \frac{d}{d y} (\frac{y}{5})

\frac{d}{d y} (\frac{y}{5}) = \frac{1}{5}

= \frac{1}{2 \frac{y}{5}} \cdot \frac{1}{5}

Simplify

\frac{1}{2 \frac{y}{5}} \cdot \frac{1}{5} : \frac{1}{2 5 y}

= \frac{1}{2 5 y}

t \to 0 lim (\frac{t ^{2} + 3 t}{t})

\frac{d}{d x} ((8 x + e^{- x^{2}})^{2})

\frac{d}{d x} (x + \frac{100}{x})

(2 y^{2} + 4 x^{2}) d x - x y d y = 0

\frac{d x}{d y} + x y^{2} = 0

What is the d/(dy)(sqrt(y/5)) ?
The d/(dy)(sqrt(y/5)) is 1/(2sqrt(5)\sqrt{y)}
What is the first d/(dy)(sqrt(y/5)) ?
The first d/(dy)(sqrt(y/5)) is 1/(2sqrt(5)\sqrt{y)}