What is the derivative of x+2/x ?

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

What is the first derivative of x+2/x ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x + \frac{2}{x}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d x} (3^{s i n (x)} + \frac{e ^{- x}}{2})

5 (sin (x^{2}) + 2 x^{2} cos (x^{2}))

\frac{d}{d x} (49 - x^{2} - y^{2})

\frac{d}{d x} (c x)

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