en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme 8x+2/x

Solution

extreme points

8 x + \frac{2}{x}

Solution

Maximum (- \frac{1}{2}, - 8), Minimum (\frac{1}{2}, 8)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - \frac{1}{2},

Decreasing

: - \frac{1}{2} < x < 0,

Decreasing

: 0 < x < \frac{1}{2},

Increasing

: \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

8 x + \frac{2}{x} : - 8

Maximum (- \frac{1}{2}, - 8)

Plug

x = \frac{1}{2}

into

8 x + \frac{2}{x} : 8

Minimum (\frac{1}{2}, 8)

Maximum (- \frac{1}{2}, - 8), Minimum (\frac{1}{2}, 8)

Popular Examples

extreme P(x,y)=2x+4y extreme points

P (x, y) = 2 x + 4 y

extreme f(x)=x^3-y^3+6xy-10 extreme points

f (x) = x^{3} - y^{3} + 6 x y - 10

extreme f(x)=(4860)/x+11x+710272 extreme points

f (x) = \frac{4860}{x} + 11 x + 710272

extreme f(x,y)=(4-xy)/(2+x^2y^2)extreme points

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

extreme f(x)=6+5x-5x^2 extreme points

f (x) = 6 + 5 x - 5 x^{2}

Frequently Asked Questions (FAQ)

What is the extreme 8x+2/x ?
The extreme 8x+2/x is Maximum(-1/2 ,-8),Minimum(1/2 ,8)