en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme (4x^2)/(x^2-9)

Solution

extreme points

\frac{4 x ^{2}}{x ^{2} - 9}

Solution

Maximum (0, 0)

Solution steps

f^{'} (x) = - \frac{72 x}{( x ^{2} - 9 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 0

into

\frac{4 x ^{2}}{x ^{2} - 9} : 0

Maximum (0, 0)

Graph

Popular Examples

extreme f(x,y)=e^{(x^2+0.5y^2-5xy-3x)}

extreme f(x)=x^2-15x+56

extreme y=x^4-x^3

extreme f(x)=6x-12

extreme f(x)=6x^3-9x^2-216x+7

Frequently Asked Questions (FAQ)

What is the extreme (4x^2)/(x^2-9) ?
The extreme (4x^2)/(x^2-9) is Maximum(0,0)