en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme sqrt(x^2-1)

Solution

extreme points

x^{2} - 1

Solution

Minimum (- 1, 0), Minimum (1, 0)

Solution steps

f^{'} (x) = \frac{x}{x ^{2} - 1}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x^{2} - 1 : 0

Minimum (- 1, 0)

Plug

x = 1

into

x^{2} - 1 : 0

Minimum (1, 0)

Minimum (- 1, 0), Minimum (1, 0)

Graph

Popular Examples

range of f(x)= x/(x^2-16)

domain of 1/(sqrt(x-3))

slope of f(x)=7-8/9 x

asymptotes of ((1+x^2))/((1-x^2))

domain of f(x)=(x^2+7)/(sqrt(5-x))

Frequently Asked Questions (FAQ)

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