en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of cos((sqrt(3)/2 x))

Solution

\frac{d}{d x} (cos (\frac{3}{2} x))

Solution

- sin (\frac{3 x}{2}) \frac{3}{2}

Solution steps

\frac{d}{d x} (cos (\frac{3}{2} x))

Simplify

cos (\frac{3}{2} x) : cos (\frac{3 x}{2})

= \frac{d}{d x} (cos (\frac{3 x}{2}))

Apply the chain rule:

- sin (\frac{3 x}{2}) \frac{d}{d x} (\frac{3 x}{2})

= - sin (\frac{3 x}{2}) \frac{d}{d x} (\frac{3 x}{2})

\frac{d}{d x} (\frac{3 x}{2}) = \frac{3}{2}

= - sin (\frac{3 x}{2}) \frac{3}{2}

Popular Examples

sum from n=1 to infinity}(16^{n/2 of)/(2^{2n)}

n = 1 \sum \infty \frac{1 6 ^{\frac{n}{2}}}{2 ^{2 n}}

integral of 1/(e^{-y)}

\int \frac{1}{e ^{- y}} d y

d y = 2 x (y^{2} + 9) d x

integral of 0.6x

\int 0.6 x d x

limit as x approaches infinity of 4/7

x \to \infty lim (\frac{4}{7})

Frequently Asked Questions (FAQ)

What is the derivative of cos((sqrt(3)/2 x)) ?
The derivative of cos((sqrt(3)/2 x)) is -sin((sqrt(3)x)/2)(sqrt(3))/2
What is the first derivative of cos((sqrt(3)/2 x)) ?
The first derivative of cos((sqrt(3)/2 x)) is -sin((sqrt(3)x)/2)(sqrt(3))/2