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Popular Functions >

extreme (x^2)/((x-1)^2)

Solution

extreme points

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

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = - \frac{2 x}{( x - 1 ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{( x - 1 ) ^{2}} : 0

Minimum (0, 0)

Graph

Popular Examples

extreme f(x,y)=-3x^2+7xy-4y^2+x+y extreme points

f (x, y) = - 3 x^{2} + 7 x y - 4 y^{2} + x + y

extreme f(x)=x^3-27x+7 extreme points

f (x) = x^{3} - 27 x + 7

extreme f(x)= 10/3 x^3-11x^2+12x-24 extreme points

f (x) = \frac{10}{3} x^{3} - 11 x^{2} + 12 x - 24

extreme x/(sqrt(x^2+1))extreme points

\frac{x}{x ^{2} + 1}

extreme f(x,y)=x^3+y^2-2xy-x+3 extreme points

f (x, y) = x^{3} + y^{2} - 2 x y - x + 3

Frequently Asked Questions (FAQ)

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