What is the derivative of 7ln(x) ?

The derivative of 7ln(x) is 7/x

What is the first derivative of 7ln(x) ?

The first derivative of 7ln(x) is 7/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

7 ln (x)

\frac{7}{x}

Solution steps

\frac{d}{d x} (7 ln (x))

Take the constant out:

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

= 7 \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= 7 \cdot \frac{1}{x}

Simplify

7 \cdot \frac{1}{x} : \frac{7}{x}

= \frac{7}{x}