What is the derivative of 6x+4/x ?

The derivative of 6x+4/x is 6-4/(x^2)

What is the first derivative of 6x+4/x ?

The first derivative of 6x+4/x is 6-4/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

6 x + \frac{4}{x}

6 - \frac{4}{x ^{2}}

Solution steps

\frac{d}{d x} (6 x + \frac{4}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x) + \frac{d}{d x} (\frac{4}{x})

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

= 6 - \frac{4}{x ^{2}}

What is the derivative of 6x+4/x ?
The derivative of 6x+4/x is 6-4/(x^2)
What is the first derivative of 6x+4/x ?
The first derivative of 6x+4/x is 6-4/(x^2)