What is the extreme f(x)=2x+((50)/x) ?

The extreme f(x)=2x+((50)/x) is Maximum(-5,-20),Minimum(5,20)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=2x+((50)/x)

extreme points

f (x) = 2 x + (\frac{50}{x})

Maximum (- 5, - 20), Minimum (5, 20)

Solution steps

f^{'} (x) = 2 - \frac{50}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 0,

Decreasing

: 0 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 5

into

2 x + \frac{50}{x} : - 20

Maximum (- 5, - 20)

Plug

x = 5

into

2 x + \frac{50}{x} : 20

Minimum (5, 20)

Maximum (- 5, - 20), Minimum (5, 20)

What is the extreme f(x)=2x+((50)/x) ?
The extreme f(x)=2x+((50)/x) is Maximum(-5,-20),Minimum(5,20)