en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme y=(x^2+2)/(x^2-25)

Solution

extreme

Solution

Maximum (0, - \frac{2}{25})

Solution steps

f^{'} (x) = - \frac{54 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} + 2}{x ^{2} - 25} : - \frac{2}{25}

Maximum (0, - \frac{2}{25})

Graph

Popular Examples

extreme f(x)=-sin(x)-4,(0,2pi)

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

extreme f(x)=2x^4-x^2+5

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

extreme y=6x^4+8x^3

Frequently Asked Questions (FAQ)

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