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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

cos (2 x) \cdot 2 - sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= cos (2 x) \cdot 2 - sin (x)

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