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Popular Functions >

extreme 1/(x^2-4)

Solution

extreme points

\frac{1}{x ^{2} - 4}

Solution

Maximum (0, - \frac{1}{4})

Solution steps

f^{'} (x) = - \frac{2 x}{( x ^{2} - 4 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 0

into

\frac{1}{x ^{2} - 4} : - \frac{1}{4}

Maximum (0, - \frac{1}{4})

Graph

Popular Examples

asymptotes of f(x)=((t^2-6t))/(t^4-1296)

midpoint (-1,-2),(1,2)

inverse of (x^2)/(x-2)

distance (0,0),(6,8)

asymptotes of f(x)=(7x^2+5x-2)/(2x^2-18)

Frequently Asked Questions (FAQ)

What is the extreme 1/(x^2-4) ?
The extreme 1/(x^2-4) is Maximum(0,-1/4)