What is the derivative of 3x+2/x ?

The derivative of 3x+2/x is 3-2/(x^2)

What is the first derivative of 3x+2/x ?

The first derivative of 3x+2/x is 3-2/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (3 x + \frac{2}{x})

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

Solution steps

\frac{d}{d x} (3 x + \frac{2}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x) + \frac{d}{d x} (\frac{2}{x})

\frac{d}{d x} (3 x) = 3

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

= 3 - \frac{2}{x ^{2}}

What is the derivative of 3x+2/x ?
The derivative of 3x+2/x is 3-2/(x^2)
What is the first derivative of 3x+2/x ?
The first derivative of 3x+2/x is 3-2/(x^2)