en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme f(x)=(x^2)/(x^2-16)

Solution

extreme points

f (x) = \frac{x ^{2}}{x ^{2} - 16}

Solution

Maximum (0, 0)

Solution steps

f^{'} (x) = - \frac{32 x}{( x ^{2} - 16 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 4,

Increasing

: - 4 < x < 0,

Decreasing

: 0 < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x ^{2} - 16} : 0

Maximum (0, 0)

Graph

Popular Examples

extreme f(x,y)=x^3+y^2-2xy+7x-8y+2

extreme f(x)=(x^2+11)(9-x^2)

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

extreme f(x)=3x^3e^{-x}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x^2)/(x^2-16) ?
The extreme f(x)=(x^2)/(x^2-16) is Maximum(0,0)