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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = - \frac{4 x}{( x - 2 ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{( x - 2 ) ^{2}} : 0

Minimum (0, 0)

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Frequently Asked Questions (FAQ)

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