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Popular >

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

Solution

extreme points

\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)

Popular Examples

parity f(x)=sqrt((4x^2-9)/(2-sin^2(x)))parity

f (x) = \frac{4 x ^{2} - 9}{2 - sin ^{2} ( x )}

range of-x+1 range

- x + 1

slope ofintercept x+5y=19 slope intercept

x + 5 y = 19

inverse of 8x^2 inverse

8 x^{2}

range of f(x)=x^2+4x+3 range

f (x) = x^{2} + 4 x + 3

Frequently Asked Questions (FAQ)

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