What is the derivative of-2cos(xsin(x)) ?

The derivative of-2cos(xsin(x)) is -cos(2x)*2

What is the first derivative of-2cos(xsin(x)) ?

The first derivative of-2cos(xsin(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 cos (x) sin (x))

- cos (2 x) \cdot 2

Solution steps

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

Simplify

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

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \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-2cos(xsin(x)) ?
The derivative of-2cos(xsin(x)) is -cos(2x)*2
What is the first derivative of-2cos(xsin(x)) ?
The first derivative of-2cos(xsin(x)) is -cos(2x)*2