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

The derivative of 4sin(x)cos(x) is 4cos(2x)

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

The first derivative of 4sin(x)cos(x) is 4cos(2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

4 sin (x) cos (x)

4 cos (2 x)

Solution steps

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

Simplify

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

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

Take the constant out:

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

= 2 \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

= 2 cos (2 x) \cdot 2

Simplify

= 4 cos (2 x)

What is the derivative of 4sin(x)cos(x) ?
The derivative of 4sin(x)cos(x) is 4cos(2x)
What is the first derivative of 4sin(x)cos(x) ?
The first derivative of 4sin(x)cos(x) is 4cos(2x)