What is the derivative of 8sin^2(x) ?

The derivative of 8sin^2(x) is 8sin(2x)

What is the first derivative of 8sin^2(x) ?

The first derivative of 8sin^2(x) is 8sin(2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (8 sin^{2} (x))

8 sin (2 x)

Solution steps

\frac{d}{d x} (8 sin^{2} (x))

Take the constant out:

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

= 8 \frac{d}{d x} (sin^{2} (x))

Apply the chain rule:

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

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

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

= 8 \cdot 2 sin (x) cos (x)

Simplify

8 \cdot 2 sin (x) cos (x) : 8 sin (2 x)

= 8 sin (2 x)

What is the derivative of 8sin^2(x) ?
The derivative of 8sin^2(x) is 8sin(2x)
What is the first derivative of 8sin^2(x) ?
The first derivative of 8sin^2(x) is 8sin(2x)