What is the derivative of-sin(5x) ?

The derivative of-sin(5x) is -cos(5x)*5

What is the first derivative of-sin(5x) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (- sin (5 x))

- cos (5 x) \cdot 5

Solution steps

\frac{d}{d x} (- sin (5 x))

Take the constant out:

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

= - \frac{d}{d x} (sin (5 x))

Apply the chain rule:

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

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

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

= - cos (5 x) \cdot 5

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