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

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

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

The first derivative of 1/(x+2-1) is -1/((x+2)^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}{x + 2} - 1)

- \frac{1}{( x + 2 ) ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - \frac{1}{( x + 2 ) ^{2}} - 0

Simplify

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

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