en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme (x^2)/(x^2-25)

Solution

extreme points

\frac{x ^{2}}{x ^{2} - 25}

Solution

Maximum (0, 0)

Solution steps

f^{'} (x) = - \frac{50 x}{( x ^{2} - 25 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 5,

Increasing

: - 5 < x < 0,

Decreasing

: 0 < x < 5,

Decreasing

: 5 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x ^{2} - 25} : 0

Maximum (0, 0)

Graph

Popular Examples

extreme f(x)=x2^{-x}extreme points

f (x) = x 2^{- x}

extreme f(x,y)=-150x+2x^3+6xy^2-3y^3 extreme points

f (x, y) = - 150 x + 2 x^{3} + 6 x y^{2} - 3 y^{3}

extreme f(x)=x^1-(4cos(x))extreme points

f (x) = x^{1} - (4 cos (x))

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

f (x, y) = 3 (x^{2} + y^{2}) e^{y^{2} - x^{2}}

extreme f(x)=5xln(x)extreme points

f (x) = 5 x ln (x)

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/(x^2-25) ?
The extreme (x^2)/(x^2-25) is Maximum(0,0)