What is the derivative of 2x+(200/x) ?

The derivative of 2x+(200/x) is 2-(200)/(x^2)

What is the first derivative of 2x+(200/x) ?

The first derivative of 2x+(200/x) is 2-(200)/(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} (2 x + \frac{200}{x})

2 - \frac{200}{x ^{2}}

Solution steps

\frac{d}{d x} (2 x + \frac{200}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (\frac{200}{x})

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

\frac{d}{d x} (\frac{200}{x}) = - \frac{200}{x ^{2}}

= 2 - \frac{200}{x ^{2}}

What is the derivative of 2x+(200/x) ?
The derivative of 2x+(200/x) is 2-(200)/(x^2)
What is the first derivative of 2x+(200/x) ?
The first derivative of 2x+(200/x) is 2-(200)/(x^2)