What is the derivative of x-1/x ?

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

What is the first derivative of x-1/x ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

x - \frac{1}{x}

1 + \frac{1}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

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

Simplify

= 1 + \frac{1}{x ^{2}}

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