What is the derivative of ln(24x) ?

The derivative of ln(24x) is 1/x

What is the first derivative of ln(24x) ?

The first derivative of ln(24x) is 1/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 (24 x))

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (24 x))

Apply the chain rule:

\frac{1}{24 x} \frac{d}{d x} (24 x)

= \frac{1}{24 x} \frac{d}{d x} (24 x)

\frac{d}{d x} (24 x) = 24

= \frac{1}{24 x} \cdot 24

Simplify

\frac{1}{24 x} \cdot 24 : \frac{1}{x}

= \frac{1}{x}

What is the derivative of ln(24x) ?
The derivative of ln(24x) is 1/x
What is the first derivative of ln(24x) ?
The first derivative of ln(24x) is 1/x