en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme-2/(4x+x^2-2)

Solution

extreme points

- \frac{2}{4 x + x ^{2} - 2}

Solution

Minimum (- 2, \frac{1}{3})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 2 - 6,

Decreasing

: - 2 - 6 < x < - 2,

Increasing

: - 2 < x < - 2 + 6,

Increasing

: - 2 + 6 < x < \infty

Plug

x = - 2

into

- \frac{2}{4 x + x ^{2} - 2} : \frac{1}{3}

Minimum (- 2, \frac{1}{3})

Popular Examples

extreme f(x)=4x^3+9x^2 extreme points

f (x) = 4 x^{3} + 9 x^{2}

extreme f(x,y)=x^2*y^2+x^2-x*y^2-5*x-7 extreme points

f (x, y) = x^{2} \cdot y^{2} + x^{2} - x \cdot y^{2} - 5 \cdot x - 7

extreme (3x)/(x-2)extreme points

\frac{3 x}{x - 2}

extreme f(x,y)=8xy+1/x+1/y extreme points

f (x, y) = 8 x y + \frac{1}{x} + \frac{1}{y}

extreme f(x,y)=3xy-6x-3y+7 extreme points

f (x, y) = 3 x y - 6 x - 3 y + 7

Frequently Asked Questions (FAQ)

What is the extreme-2/(4x+x^2-2) ?
The extreme-2/(4x+x^2-2) is Minimum(-2, 1/3)