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Popular >

extreme (x^2)/(x-5)

Solution

extreme points

\frac{x ^{2}}{x - 5}

Solution

Maximum (0, 0), Minimum (10, 20)

Solution steps

f^{'} (x) = \frac{x ^{2} - 10 x}{( x - 5 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 5,

Decreasing

: 5 < x < 10,

Increasing

: 10 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x - 5} : 0

Maximum (0, 0)

Plug

x = 10

into

\frac{x ^{2}}{x - 5} : 20

Minimum (10, 20)

Maximum (0, 0), Minimum (10, 20)

Popular Examples

extreme f(x,y)=x^2y+y^3-12y extreme points

f (x, y) = x^{2} y + y^{3} - 12 y

extreme f(x,y)=(xy)/(1+e^x)extreme points

f (x, y) = \frac{x y}{1 + e ^{x}}

extreme f(x,y)=5+sqrt(9-x^2-y^2)extreme points

f (x, y) = 5 + 9 - x^{2} - y^{2}

extreme f(x,y)=2x+y+2/x+4/y extreme points

f (x, y) = 2 x + y + \frac{2}{x} + \frac{4}{y}

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

f (x, y) = - x - y + 2

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/(x-5) ?
The extreme (x^2)/(x-5) is Maximum(0,0),Minimum(10,20)