What is the derivative of ln(1-8x) ?

The derivative of ln(1-8x) is -8/(1-8x)

What is the first derivative of ln(1-8x) ?

The first derivative of ln(1-8x) is -8/(1-8x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (ln (1 - 8 x))

- \frac{8}{1 - 8 x}

Solution steps

\frac{d}{d x} (ln (1 - 8 x))

Apply the chain rule:

\frac{1}{1 - 8 x} \frac{d}{d x} (1 - 8 x)

= \frac{1}{1 - 8 x} \frac{d}{d x} (1 - 8 x)

\frac{d}{d x} (1 - 8 x) = - 8

= \frac{1}{1 - 8 x} (- 8)

Simplify

\frac{1}{1 - 8 x} (- 8) : - \frac{8}{1 - 8 x}

= - \frac{8}{1 - 8 x}

x \frac{d y}{d x} - y = 3 x^{4}

\frac{d}{d x} ((- 3 x + 1)^{3} (2 x - 1)^{4})

\frac{d}{d x} (\frac{1}{( x ^{2} + 3 x + 2 ) ^{3}})

What is the derivative of ln(1-8x) ?
The derivative of ln(1-8x) is -8/(1-8x)
What is the first derivative of ln(1-8x) ?
The first derivative of ln(1-8x) is -8/(1-8x)