What is the derivative of-ln(1-x) ?

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

- ln (1 - x)

\frac{1}{1 - x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

= \frac{1}{1 - x}

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