What is the extreme f(x)=6x+(384)/x ?

The extreme f(x)=6x+(384)/x is Maximum(-8,-96),Minimum(8,96)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=6x+(384)/x

extreme

Maximum (- 8, - 96), Minimum (8, 96)

Solution steps

f^{'} (x) = 6 - \frac{384}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 8,

Decreasing

: - 8 < x < 0,

Decreasing

: 0 < x < 8,

Increasing

: 8 < x < \infty

Plug

x = - 8

into

6 x + \frac{384}{x} : - 96

Maximum (- 8, - 96)

Plug

x = 8

into

6 x + \frac{384}{x} : 96

Minimum (8, 96)

Maximum (- 8, - 96), Minimum (8, 96)

What is the extreme f(x)=6x+(384)/x ?
The extreme f(x)=6x+(384)/x is Maximum(-8,-96),Minimum(8,96)