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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

cos (2 x) \cdot 2

Solution steps

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

Simplify

2 sin (x) cos (x) : sin (2 x)

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

Apply the chain rule:

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

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

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

= cos (2 x) \cdot 2

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