en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(pi/(2x))

Solution

\frac{d}{d x} (\frac{π}{2 x})

Solution

- \frac{π}{2 2 x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (\frac{π}{2 x})

Apply the chain rule:

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

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

\frac{d}{d x} (\frac{π}{2 x}) = - \frac{π}{2 x ^{2}}

= \frac{1}{2 \frac{π}{2 x}} (- \frac{π}{2 x ^{2}})

Simplify

\frac{1}{2 \frac{π}{2 x}} (- \frac{π}{2 x ^{2}}) : - \frac{π}{2 2 x ^{\frac{3}{2}}}

= - \frac{π}{2 2 x ^{\frac{3}{2}}}

Popular Examples

derivative of cos((1-x^2^2))

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

area y=x^2,y=4-x^2 area

y = x^{2}, y = 4 - x^{2}

derivative of x/(5+x)

\frac{d}{d x} (\frac{x}{5 + x})

derivative of 10-x

\frac{d}{d x} (10 - x)

limit as x approaches 0 of (2-2cos(x))/(e^x-x-1)

x \to 0 lim (\frac{2 - 2 cos ( x )}{e ^{x} - x - 1})

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(pi/(2x)) ?
The derivative of sqrt(pi/(2x)) is -(sqrt(pi))/(2sqrt(2)x^{3/2)}
What is the first derivative of sqrt(pi/(2x)) ?
The first derivative of sqrt(pi/(2x)) is -(sqrt(pi))/(2sqrt(2)x^{3/2)}