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Popular Functions >

extreme (4x^2)/(x^2-4)

Solution

extreme points

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

Solution

Maximum (0, 0)

Solution steps

f^{'} (x) = - \frac{32 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{4 x ^{2}}{x ^{2} - 4} : 0

Maximum (0, 0)

Graph

Popular Examples

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extreme f(x,y)=2x^2+3xy+y^2+ax+5

Frequently Asked Questions (FAQ)

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