What is the d/(dt)((x)(t)) ?

The d/(dt)((x)(t)) is t(dx)/(dt)+x

What is the first d/(dt)((x)(t)) ?

The first d/(dt)((x)(t)) is t(dx)/(dt)+x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

t \frac{d x}{d t} + x

Solution steps

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

Apply the Product Rule:

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

f = x, g = t

= \frac{d x}{d t} t + \frac{d t}{d t} x

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

= \frac{d x}{d t} t + 1 \cdot x

Simplify

= t \frac{d x}{d t} + x

x + (- 2)

\frac{x - 3}{x ^{2} - 9}

4 a^{13} - 9 a b^{12}

(a + b)^{3} - (a - b)^{3} - 2 b

a^{3} b^{3} + 8 c^{3}