What is the derivative of y=sqrt(2x) ?

The derivative of y=sqrt(2x) is 1/(sqrt(2)\sqrt{x)}

What is the first derivative of y=sqrt(2x) ?

The first derivative of y=sqrt(2x) is 1/(sqrt(2)\sqrt{x)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative

\frac{1}{2 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1}{2 x}

What is the derivative of y=sqrt(2x) ?
The derivative of y=sqrt(2x) is 1/(sqrt(2)\sqrt{x)}
What is the first derivative of y=sqrt(2x) ?
The first derivative of y=sqrt(2x) is 1/(sqrt(2)\sqrt{x)}