What is the d/(dt)(t*sin(t)) ?

The d/(dt)(t*sin(t)) is sin(t)+tcos(t)

What is the first d/(dt)(t*sin(t)) ?

The first d/(dt)(t*sin(t)) is sin(t)+tcos(t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d t} (t \cdot sin (t))

sin (t) + t cos (t)

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = t, g = sin (t)

= \frac{d t}{d t} sin (t) + \frac{d}{d t} (sin (t)) t

\frac{d t}{d t} = 1

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

= 1 \cdot sin (t) + cos (t) t

Simplify

= sin (t) + t cos (t)

What is the d/(dt)(t*sin(t)) ?
The d/(dt)(t*sin(t)) is sin(t)+tcos(t)
What is the first d/(dt)(t*sin(t)) ?
The first d/(dt)(t*sin(t)) is sin(t)+tcos(t)