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Popular >

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)

Popular Examples

extreme f(x)=(-3)/(x^2-9)extreme points

f (x) = \frac{- 3}{x ^{2} - 9}

extreme f(x,y)=xy+9/x+3/y extreme points

f (x, y) = x y + \frac{9}{x} + \frac{3}{y}

extreme 6x-x^2 extreme points

6 x - x^{2}

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

f (x) = \frac{2 x ^{3}}{3} + 3 x^{2} - 20 x, (- 7, 5)

extreme f(x,y)=x^2+xy+y^2-12x-24y-241 extreme points

f (x, y) = x^{2} + x y + y^{2} - 12 x - 24 y - 241

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)