What is the derivative of f(x)=2ln(x) ?

The derivative of f(x)=2ln(x) is 2/x

What is the first derivative of f(x)=2ln(x) ?

The first derivative of f(x)=2ln(x) is 2/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = 2 ln (x)

\frac{2}{x}

Solution steps

\frac{d}{d x} (2 ln (x))

Take the constant out:

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

= 2 \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= 2 \cdot \frac{1}{x}

Simplify

2 \cdot \frac{1}{x} : \frac{2}{x}

= \frac{2}{x}

What is the derivative of f(x)=2ln(x) ?
The derivative of f(x)=2ln(x) is 2/x
What is the first derivative of f(x)=2ln(x) ?
The first derivative of f(x)=2ln(x) is 2/x