What is the derivative of sqrt(y/3) ?

The derivative of sqrt(y/3) is 1/(2sqrt(3)\sqrt{y)}

What is the first derivative of sqrt(y/3) ?

The first derivative of sqrt(y/3) is 1/(2sqrt(3)\sqrt{y)}

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derivative of

\frac{y}{3}

\frac{1}{2 3 y}

Solution steps

\frac{d}{d y} (\frac{y}{3})

Apply the chain rule:

\frac{1}{2 \frac{y}{3}} \frac{d}{d y} (\frac{y}{3})

= \frac{1}{2 \frac{y}{3}} \frac{d}{d y} (\frac{y}{3})

\frac{d}{d y} (\frac{y}{3}) = \frac{1}{3}

= \frac{1}{2 \frac{y}{3}} \cdot \frac{1}{3}

Simplify

\frac{1}{2 \frac{y}{3}} \cdot \frac{1}{3} : \frac{1}{2 3 y}

= \frac{1}{2 3 y}

What is the derivative of sqrt(y/3) ?
The derivative of sqrt(y/3) is 1/(2sqrt(3)\sqrt{y)}
What is the first derivative of sqrt(y/3) ?
The first derivative of sqrt(y/3) is 1/(2sqrt(3)\sqrt{y)}