What is the derivative of 4cos(x+4sin(x)) ?

The derivative of 4cos(x+4sin(x)) is -4sin(x)+4cos(x)

What is the first derivative of 4cos(x+4sin(x)) ?

The first derivative of 4cos(x+4sin(x)) is -4sin(x)+4cos(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (4 cos (x) + 4 sin (x))

- 4 sin (x) + 4 cos (x)

Solution steps

\frac{d}{d x} (4 cos (x) + 4 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 cos (x)) + \frac{d}{d x} (4 sin (x))

\frac{d}{d x} (4 cos (x)) = - 4 sin (x)

\frac{d}{d x} (4 sin (x)) = 4 cos (x)

= - 4 sin (x) + 4 cos (x)

What is the derivative of 4cos(x+4sin(x)) ?
The derivative of 4cos(x+4sin(x)) is -4sin(x)+4cos(x)
What is the first derivative of 4cos(x+4sin(x)) ?
The first derivative of 4cos(x+4sin(x)) is -4sin(x)+4cos(x)