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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (cos (\frac{π}{2} x))

- 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}

\int_{- π}^{0} x d x

\int 2 e^{x^{2}} d x

2 x^{2} y^{^{'}} = y^{^{'}} + 4 x e^{- y}

x \to 0 lim (\frac{1}{2 x ^{2} + x})

\int \frac{9}{4 + 9 x} d x

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