en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme (-3)/(x^2-9)

Solution

extreme points

\frac{- 3}{x ^{2} - 9}

Solution

Minimum (0, \frac{1}{3})

Solution steps

f^{'} (x) = \frac{6 x}{( x ^{2} - 9 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 0,

Increasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 0

into

\frac{- 3}{x ^{2} - 9} : \frac{1}{3}

Minimum (0, \frac{1}{3})

Graph

Popular Examples

extreme f(x)=x(x-1)^3

extreme f(x,y)=x^2+y^2-8y

extreme f(x)=3t^4+4t^3-6t^2

extreme f(x)=x^2-14x+8

Frequently Asked Questions (FAQ)

What is the extreme (-3)/(x^2-9) ?
The extreme (-3)/(x^2-9) is Minimum(0, 1/3)