What is the extreme x+(31)/x ?

The extreme x+(31)/x is Maximum(-sqrt(31),-2sqrt(31)),Minimum(sqrt(31),2sqrt(31))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme x+(31)/x

extreme

Maximum (- 31, - 231), Minimum (31, 231)

Solution steps

f^{'} (x) = 1 - \frac{31}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 31,

Decreasing

: - 31 < x < 0,

Decreasing

: 0 < x < 31,

Increasing

: 31 < x < \infty

Plug

x = - 31

into

x + \frac{31}{x} : - 231

Maximum (- 31, - 231)

Plug

x = 31

into

x + \frac{31}{x} : 231

Minimum (31, 231)

Maximum (- 31, - 231), Minimum (31, 231)

What is the extreme x+(31)/x ?
The extreme x+(31)/x is Maximum(-sqrt(31),-2sqrt(31)),Minimum(sqrt(31),2sqrt(31))