What is (\partial)/(\partial x)(ln(1-x)) ?

The answer to (\partial)/(\partial x)(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

Popular >

(\partial)/(\partial x)(ln(1-x))

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

- \frac{1}{1 - x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int (1 + t) d t

\frac{1 + x}{1 - x}

\frac{\partial}{\partial x} (7 x e^{x y})

\int_{0}^{3} 3 e^{- 2 x} d x

sin^{3} (t)

What is (\partial)/(\partial x)(ln(1-x)) ?
The answer to (\partial)/(\partial x)(ln(1-x)) is -1/(1-x)