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Popular Functions >

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

Solution

extreme points

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

Solution

Maximum (0, 0), Minimum (4, 8)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Decreasing

: 2 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 0

into

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

Maximum (0, 0)

Plug

x = 4

into

\frac{x ^{2}}{x - 2} : 8

Minimum (4, 8)

Maximum (0, 0), Minimum (4, 8)

Graph

Popular Examples

extreme f(x)=(2x^3)/3+3x^2-20x,(-7,5)

extreme y(x,t)=x(t-1/4)

extreme f(x)=2x^4+y^2-x^2-2y

extreme f(x,y)=50x+60y

extreme f(t)=10u(t)

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/(x-2) ?
The extreme (x^2)/(x-2) is Maximum(0,0),Minimum(4,8)