What is the extreme f(x)=2x+4/x ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=2x+4/x

extreme points

f (x) = 2 x + \frac{4}{x}

Maximum (- 2, - 42), Minimum (2, 42)

Solution steps

f^{'} (x) = 2 - \frac{4}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

2 x + \frac{4}{x} : - 42

Maximum (- 2, - 42)

Plug

x = 2

into

2 x + \frac{4}{x} : 42

Minimum (2, 42)

Maximum (- 2, - 42), Minimum (2, 42)

- 16 (x + 7)^{2} - 3

x^{3} - 2

f (x) = 4 x

f (x) = \frac{x + 8}{x ^{2} - 4}

x e^{- x^{2}}

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