What is the derivative of 20cos(2x-30sin(2x)) ?

The derivative of 20cos(2x-30sin(2x)) is -40sin(2x)-60cos(2x)

What is the first derivative of 20cos(2x-30sin(2x)) ?

The first derivative of 20cos(2x-30sin(2x)) is -40sin(2x)-60cos(2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (20 cos (2 x) - 30 sin (2 x))

- 40 sin (2 x) - 60 cos (2 x)

Solution steps

\frac{d}{d x} (20 cos (2 x) - 30 sin (2 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (20 cos (2 x)) - \frac{d}{d x} (30 sin (2 x))

\frac{d}{d x} (20 cos (2 x)) = - 40 sin (2 x)

\frac{d}{d x} (30 sin (2 x)) = 60 cos (2 x)

= - 40 sin (2 x) - 60 cos (2 x)

What is the derivative of 20cos(2x-30sin(2x)) ?
The derivative of 20cos(2x-30sin(2x)) is -40sin(2x)-60cos(2x)
What is the first derivative of 20cos(2x-30sin(2x)) ?
The first derivative of 20cos(2x-30sin(2x)) is -40sin(2x)-60cos(2x)