What is the extreme f(x)=x+(13)/x ?

The extreme f(x)=x+(13)/x is Maximum(-sqrt(13),-2sqrt(13)),Minimum(sqrt(13),2sqrt(13))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=x+(13)/x

extreme

Maximum (- 13, - 213), Minimum (13, 213)

Solution steps

f^{'} (x) = 1 - \frac{13}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 13,

Decreasing

: - 13 < x < 0,

Decreasing

: 0 < x < 13,

Increasing

: 13 < x < \infty

Plug

x = - 13

into

x + \frac{13}{x} : - 213

Maximum (- 13, - 213)

Plug

x = 13

into

x + \frac{13}{x} : 213

Minimum (13, 213)

Maximum (- 13, - 213), Minimum (13, 213)

What is the extreme f(x)=x+(13)/x ?
The extreme f(x)=x+(13)/x is Maximum(-sqrt(13),-2sqrt(13)),Minimum(sqrt(13),2sqrt(13))