What is the derivative of vx ?

The derivative of vx is x(dv)/(dx)+v

What is the first derivative of vx ?

The first derivative of vx is x(dv)/(dx)+v

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x \frac{d v}{d x} + v

Solution steps

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

Apply the Product Rule:

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

f = v, g = x

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

\frac{d x}{d x} = 1

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

Simplify

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

\int_{0}^{π} t e^{ik t} d t

n = 1 \sum \infty \frac{n}{n + n ^{2}}

2 e^{t}

y = 4 x, y = 2 x

y = 2 x + 1