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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

- \frac{1}{x}

Solution steps

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

Simplify

ln (\frac{1}{x}) : - ln (x)

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

Take the constant out:

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

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

Apply the common derivative:

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

= - \frac{1}{x}

\int (\frac{( x ^{3} )}{( x ^{4} - 5 )}) d x, u = x^{4} - 5

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

(- 3, 3), (5, 9)

x \to - \infty lim (\frac{( x ^{4} - 1 )}{( x ^{3} - 1 )})

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

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