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

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

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

The first derivative of 1+ln(x) 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} (1 + ln (x))

\frac{1}{x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (1) = 0

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

= 0 + \frac{1}{x}

Simplify

= \frac{1}{x}

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