What is the derivative of ln(6-x) ?

The derivative of ln(6-x) is -1/(6-x)

What is the first derivative of ln(6-x) ?

The first derivative of ln(6-x) is -1/(6-x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (ln (6 - x))

- \frac{1}{6 - x}

Solution steps

\frac{d}{d x} (ln (6 - x))

Apply the chain rule:

\frac{1}{6 - x} \frac{d}{d x} (6 - x)

= \frac{1}{6 - x} \frac{d}{d x} (6 - x)

\frac{d}{d x} (6 - x) = - 1

= \frac{1}{6 - x} (- 1)

Simplify

= - \frac{1}{6 - x}

What is the derivative of ln(6-x) ?
The derivative of ln(6-x) is -1/(6-x)
What is the first derivative of ln(6-x) ?
The first derivative of ln(6-x) is -1/(6-x)