What is the derivative of cos(x)-(sqrt(2))/2 x ?

The derivative of cos(x)-(sqrt(2))/2 x is -sin(x)-1/(sqrt(2))

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

The first derivative of cos(x)-(sqrt(2))/2 x is -sin(x)-1/(sqrt(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

cos (x) - \frac{2}{2} x

- sin (x) - \frac{1}{2}

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (cos (x)) = - sin (x)

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

= - sin (x) - \frac{1}{2}

What is the derivative of cos(x)-(sqrt(2))/2 x ?
The derivative of cos(x)-(sqrt(2))/2 x is -sin(x)-1/(sqrt(2))
What is the first derivative of cos(x)-(sqrt(2))/2 x ?
The first derivative of cos(x)-(sqrt(2))/2 x is -sin(x)-1/(sqrt(2))