What is the derivative of f(x)=sqrt(x-5) ?

The derivative of f(x)=sqrt(x-5) is 1/(2sqrt(x-5))

What is the first derivative of f(x)=sqrt(x-5) ?

The first derivative of f(x)=sqrt(x-5) is 1/(2sqrt(x-5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = x - 5

\frac{1}{2 x - 5}

Solution steps

\frac{d}{d x} (x - 5)

Apply the chain rule:

\frac{1}{2 x - 5} \frac{d}{d x} (x - 5)

= \frac{1}{2 x - 5} \frac{d}{d x} (x - 5)

\frac{d}{d x} (x - 5) = 1

= \frac{1}{2 x - 5} \cdot 1

Simplify

= \frac{1}{2 x - 5}

What is the derivative of f(x)=sqrt(x-5) ?
The derivative of f(x)=sqrt(x-5) is 1/(2sqrt(x-5))
What is the first derivative of f(x)=sqrt(x-5) ?
The first derivative of f(x)=sqrt(x-5) is 1/(2sqrt(x-5))