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Popular >

d/(dy)(sqrt(y/3))

Solution

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

Solution

\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}

Popular Examples

limit as x approaches infinity of 4-1/x

x \to \infty lim (4 - \frac{1}{x})

integral of (sec^2(x))/(tan^2(x))

\int \frac{sec ^{2} ( x )}{tan ^{2} ( x )} d x

limit as x approaches-4 of 3x+1

x \to - 4 lim (3 x + 1)

(\partial)/(\partial h)(2pirh+pir^2)

\frac{\partial}{\partial h} (2 π r h + π r^{2})

derivative of (2y/(3x^2+2y^2))

\frac{d}{d x} (\frac{2 y}{3 x ^{2} + 2 y ^{2}})

Frequently Asked Questions (FAQ)

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