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Popular >

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)

Popular Examples

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

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

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

\frac{1}{x - 3}

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

f (x) = 7 - \frac{8}{9} x

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

\frac{( 1 + x ^{2} )}{( 1 - x ^{2} )}

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

f (x) = \frac{x ^{2} + 7}{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)