What is the derivative of 1/(5-2x) ?

The derivative of 1/(5-2x) is 2/((5-2x)^2)

What is the first derivative of 1/(5-2x) ?

The first derivative of 1/(5-2x) is 2/((5-2x)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (\frac{1}{5 - 2 x})

\frac{2}{( 5 - 2 x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{5 - 2 x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} ((5 - 2 x)^{- 1})

Apply the chain rule:

- \frac{1}{( 5 - 2 x ) ^{2}} \frac{d}{d x} (5 - 2 x)

= - \frac{1}{( 5 - 2 x ) ^{2}} \frac{d}{d x} (5 - 2 x)

\frac{d}{d x} (5 - 2 x) = - 2

= - \frac{1}{( 5 - 2 x ) ^{2}} (- 2)

Simplify

- \frac{1}{( 5 - 2 x ) ^{2}} (- 2) : \frac{2}{( 5 - 2 x ) ^{2}}

= \frac{2}{( 5 - 2 x ) ^{2}}

What is the derivative of 1/(5-2x) ?
The derivative of 1/(5-2x) is 2/((5-2x)^2)
What is the first derivative of 1/(5-2x) ?
The first derivative of 1/(5-2x) is 2/((5-2x)^2)