What is the d/(dt)(-cos(2t)) ?

The d/(dt)(-cos(2t)) is 2sin(2t)

What is the first d/(dt)(-cos(2t)) ?

The first d/(dt)(-cos(2t)) is 2sin(2t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d t} (- cos (2 t))

2 sin (2 t)

Solution steps

\frac{d}{d t} (- cos (2 t))

Take the constant out:

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

= - \frac{d}{d t} (cos (2 t))

Apply the chain rule:

- sin (2 t) \frac{d}{d t} (2 t)

= - sin (2 t) \frac{d}{d t} (2 t)

\frac{d}{d t} (2 t) = 2

= - (- sin (2 t) \cdot 2)

Simplify

= 2 sin (2 t)