What is the derivative of sqrt(y/5) ?

The derivative of sqrt(y/5) is 1/(2sqrt(5)\sqrt{y)}

What is the first derivative of sqrt(y/5) ?

The first derivative of sqrt(y/5) is 1/(2sqrt(5)\sqrt{y)}

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derivative of

\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}

\frac{d ^{2}}{d x ^{2}} (12 x^{3} - 32 x^{2})

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

x^{5}

\frac{x}{1 + 2 x ^{2}}

\int \frac{7 x ^{2} - 4 x + 4}{( x + 1 ) ( x ^{2} - x + 1 )} d x

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