en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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

Solution

extreme points

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

Solution

Minimum (0, - 1)

Solution steps

f^{'} (x) = \frac{16 x}{( x ^{2} + 4 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

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

Minimum (0, - 1)

Graph

Popular Examples

extreme f(xy)=x^2+y^2

extreme f(x,y)=2x^3+xy^2+5x^2+y^2

extreme f(x,y)=-3x^2-3y^2+x-3y+2

extreme x^4-2x^2

extreme f(x)=e^x+x^2

Frequently Asked Questions (FAQ)

What is the extreme (x^2-4)/(x^2+4) ?
The extreme (x^2-4)/(x^2+4) is Minimum(0,-1)