en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of cos(pi/2 x)

Solution

derivative of

cos (\frac{π}{2} x)

Solution

- sin (\frac{π x}{2}) \frac{π}{2}

Solution steps

\frac{d}{d x} (cos (\frac{π}{2} x))

Simplify

cos (\frac{π}{2} x) : cos (\frac{π x}{2})

= \frac{d}{d x} (cos (\frac{π x}{2}))

Apply the chain rule:

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

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

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

= - sin (\frac{π x}{2}) \frac{π}{2}

Graph

Popular Examples

inverse oflaplace (e^{-s}+s)/(s^2+s)inverse laplace

\frac{e ^{- s} + s}{s ^{2} + s}

derivative of (2(3x^2+1)/((1-x^2)^3))

\frac{d}{d x} (\frac{2 ( 3 x ^{2} + 1 )}{( 1 - x ^{2} ) ^{3}})

integral from-a to a of integral from 0 to 1 of sin(y)e^{x^2}

\int_{- a}^{a} \int_{0}^{1} sin (y) e^{x^{2}} d x d y

f(x)=xsqrt(1-x^2)

f (x) = x 1 - x^{2}

integral from 1 to 8 of 1/(sqrt(3x+1))

\int_{1}^{8} \frac{1}{3 x + 1} d x

Frequently Asked Questions (FAQ)

What is the derivative of cos(pi/2 x) ?
The derivative of cos(pi/2 x) is -sin((pix)/2) pi/2
What is the first derivative of cos(pi/2 x) ?
The first derivative of cos(pi/2 x) is -sin((pix)/2) pi/2