What is the derivative of 8sin(3x) ?

The derivative of 8sin(3x) is 24cos(3x)

What is the first derivative of 8sin(3x) ?

The first derivative of 8sin(3x) is 24cos(3x)

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 (3 x))

24 cos (3 x)

Solution steps

\frac{d}{d x} (8 sin (3 x))

Take the constant out:

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

= 8 \frac{d}{d x} (sin (3 x))

Apply the chain rule:

cos (3 x) \frac{d}{d x} (3 x)

= cos (3 x) \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= 8 cos (3 x) \cdot 3

Simplify

= 24 cos (3 x)

What is the derivative of 8sin(3x) ?
The derivative of 8sin(3x) is 24cos(3x)
What is the first derivative of 8sin(3x) ?
The first derivative of 8sin(3x) is 24cos(3x)