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Popular >

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

Solution

extreme points

y = \frac{x ^{2}}{x - 1}

Solution

Maximum (0, 0), Minimum (2, 4)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Decreasing

: 1 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 0

into

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

Maximum (0, 0)

Plug

x = 2

into

\frac{x ^{2}}{x - 1} : 4

Minimum (2, 4)

Maximum (0, 0), Minimum (2, 4)

Graph

Popular Examples

extreme f(x)=cos(x)-6x extreme points

f (x) = cos (x) - 6 x

extreme e^{1/x}extreme points

e^{\frac{1}{x}}

extreme f(x)=x^2e^{13x}extreme points

f (x) = x^{2} e^{13 x}

extreme f(x)=-2x(x-4)extreme points

f (x) = - 2 x (x - 4)

extreme f(x)=-x^3+27x-49 extreme points

f (x) = - x^{3} + 27 x - 49

Frequently Asked Questions (FAQ)

What is the extreme y=(x^2)/(x-1) ?
The extreme y=(x^2)/(x-1) is Maximum(0,0),Minimum(2,4)