What is the derivative of 5cos(4x) ?

The derivative of 5cos(4x) is -20sin(4x)

What is the first derivative of 5cos(4x) ?

The first derivative of 5cos(4x) is -20sin(4x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (5 cos (4 x))

- 20 sin (4 x)

Solution steps

\frac{d}{d x} (5 cos (4 x))

Take the constant out:

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

= 5 \frac{d}{d x} (cos (4 x))

Apply the chain rule:

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

= - sin (4 x) \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= 5 (- sin (4 x) \cdot 4)

Simplify

= - 20 sin (4 x)

What is the derivative of 5cos(4x) ?
The derivative of 5cos(4x) is -20sin(4x)
What is the first derivative of 5cos(4x) ?
The first derivative of 5cos(4x) is -20sin(4x)