What is the derivative of ln(4/x) ?

The derivative of ln(4/x) is -1/x

What is the first derivative of ln(4/x) ?

The first derivative of ln(4/x) is -1/x

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 (\frac{4}{x}))

- \frac{1}{x}

Solution steps

\frac{d}{d x} (ln (\frac{4}{x}))

Apply the chain rule:

\frac{1}{\frac{4}{x}} \frac{d}{d x} (\frac{4}{x})

= \frac{1}{\frac{4}{x}} \frac{d}{d x} (\frac{4}{x})

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

= \frac{1}{\frac{4}{x}} (- \frac{4}{x ^{2}})

Simplify

\frac{1}{\frac{4}{x}} (- \frac{4}{x ^{2}}) : - \frac{1}{x}

= - \frac{1}{x}

\frac{5}{2 x ^{3}}

w \to 0 lim (\frac{sec ( 2 w ) - 1}{w sec ( 2 w )})

y = x, y = 8 - x, y = 0

2 sin (x) + 2 cos (x)

y^{^{'}} = y^{2} sin (x^{2}), y (- 2) = \frac{1}{3}

What is the derivative of ln(4/x) ?
The derivative of ln(4/x) is -1/x
What is the first derivative of ln(4/x) ?
The first derivative of ln(4/x) is -1/x