What is the derivative of f(x)=ln(x-2) ?

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

What is the first derivative of f(x)=ln(x-2) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = ln (x - 2)

\frac{1}{x - 2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= \frac{1}{x - 2}

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