What is the derivative of 2cos(x+2sin(x)) ?

The derivative of 2cos(x+2sin(x)) is -2sin(x)+2cos(x)

What is the first derivative of 2cos(x+2sin(x)) ?

The first derivative of 2cos(x+2sin(x)) is -2sin(x)+2cos(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (2 cos (x) + 2 sin (x))

- 2 sin (x) + 2 cos (x)

Solution steps

\frac{d}{d x} (2 cos (x) + 2 sin (x))

Apply the Sum/Difference Rule:

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

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

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

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

= - 2 sin (x) + 2 cos (x)

What is the derivative of 2cos(x+2sin(x)) ?
The derivative of 2cos(x+2sin(x)) is -2sin(x)+2cos(x)
What is the first derivative of 2cos(x+2sin(x)) ?
The first derivative of 2cos(x+2sin(x)) is -2sin(x)+2cos(x)