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Popular >

derivative of sqrt(x/pi)

Solution

\frac{d}{d x} (\frac{x}{π})

Solution

\frac{1}{2 π x}

Solution steps

\frac{d}{d x} (\frac{x}{π})

Apply the chain rule:

\frac{1}{2 \frac{x}{π}} \frac{d}{d x} (\frac{x}{π})

= \frac{1}{2 \frac{x}{π}} \frac{d}{d x} (\frac{x}{π})

\frac{d}{d x} (\frac{x}{π}) = \frac{1}{π}

= \frac{1}{2 \frac{x}{π}} \cdot \frac{1}{π}

Simplify

\frac{1}{2 \frac{x}{π}} \cdot \frac{1}{π} : \frac{1}{2 π x}

= \frac{1}{2 π x}

Graph

Popular Examples

derivative of arccos(sqrt(y-2x))

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

integral of sec^2(θ)tan^7(θ)

\int sec^{2} (θ) tan^{7} (θ) d θ

limit as x approaches 2 of (-1)/((x+2))

x \to 2 lim (\frac{- 1}{( x + 2 )})

derivative of (2-x/(1+2x^2))

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

limit as x approaches 0 of sqrt(16-7x)

x \to 0 lim (16 - 7 x)

Frequently Asked Questions (FAQ)

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