What is the derivative of sqrt(3x+2) ?

The derivative of sqrt(3x+2) is 3/(2sqrt(3x+2))

What is the first derivative of sqrt(3x+2) ?

The first derivative of sqrt(3x+2) is 3/(2sqrt(3x+2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

3 x + 2

\frac{3}{2 3 x + 2}

Solution steps

\frac{d}{d x} (3 x + 2)

Apply the chain rule:

\frac{1}{2 3 x + 2} \frac{d}{d x} (3 x + 2)

= \frac{1}{2 3 x + 2} \frac{d}{d x} (3 x + 2)

\frac{d}{d x} (3 x + 2) = 3

= \frac{1}{2 3 x + 2} \cdot 3

Simplify

\frac{1}{2 3 x + 2} \cdot 3 : \frac{3}{2 3 x + 2}

= \frac{3}{2 3 x + 2}

What is the derivative of sqrt(3x+2) ?
The derivative of sqrt(3x+2) is 3/(2sqrt(3x+2))
What is the first derivative of sqrt(3x+2) ?
The first derivative of sqrt(3x+2) is 3/(2sqrt(3x+2))