What is the derivative of sqrt(10x+1) ?

The derivative of sqrt(10x+1) is 5/(sqrt(10x+1))

What is the first derivative of sqrt(10x+1) ?

The first derivative of sqrt(10x+1) is 5/(sqrt(10x+1))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

10 x + 1

\frac{5}{10 x + 1}

Solution steps

\frac{d}{d x} (10 x + 1)

Apply the chain rule:

\frac{1}{2 10 x + 1} \frac{d}{d x} (10 x + 1)

= \frac{1}{2 10 x + 1} \frac{d}{d x} (10 x + 1)

\frac{d}{d x} (10 x + 1) = 10

= \frac{1}{2 10 x + 1} \cdot 10

Simplify

\frac{1}{2 10 x + 1} \cdot 10 : \frac{5}{10 x + 1}

= \frac{5}{10 x + 1}

What is the derivative of sqrt(10x+1) ?
The derivative of sqrt(10x+1) is 5/(sqrt(10x+1))
What is the first derivative of sqrt(10x+1) ?
The first derivative of sqrt(10x+1) is 5/(sqrt(10x+1))