What is the extreme f(x)=2x+6/x ?

The extreme f(x)=2x+6/x is Maximum(-sqrt(3),-4sqrt(3)),Minimum(sqrt(3),4sqrt(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=2x+6/x

extreme points

f (x) = 2 x + \frac{6}{x}

Maximum (- 3, - 43), Minimum (3, 43)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

2 x + \frac{6}{x} : - 43

Maximum (- 3, - 43)

Plug

x = 3

into

2 x + \frac{6}{x} : 43

Minimum (3, 43)

Maximum (- 3, - 43), Minimum (3, 43)

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

f (x, y) = x^{3} - 3 x y + \frac{1}{2} y^{2}

f (x, y) = 3 x - x^{3} - 2 y^{2} + y^{4}

f (x) = 2 x + \frac{18}{x}

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

What is the extreme f(x)=2x+6/x ?
The extreme f(x)=2x+6/x is Maximum(-sqrt(3),-4sqrt(3)),Minimum(sqrt(3),4sqrt(3))