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Popular >

extreme f(x)=(x^2)/(9-x^2)

Solution

extreme points

f (x) = \frac{x ^{2}}{9 - x ^{2}}

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = \frac{18 x}{( 9 - x ^{2} ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 0,

Increasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{9 - x ^{2}} : 0

Minimum (0, 0)

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x^2)/(9-x^2) ?
The extreme f(x)=(x^2)/(9-x^2) is Minimum(0,0)