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Popular >

extreme (x^2)/(x-4)

Solution

extreme points

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

Solution

Maximum (0, 0), Minimum (8, 16)

Solution steps

f^{'} (x) = \frac{x ^{2} - 8 x}{( x - 4 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 4,

Decreasing

: 4 < x < 8,

Increasing

: 8 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x - 4} : 0

Maximum (0, 0)

Plug

x = 8

into

\frac{x ^{2}}{x - 4} : 16

Minimum (8, 16)

Maximum (0, 0), Minimum (8, 16)

Graph

Popular Examples

extreme f(x,y)=x^3-3xy+4y^2 extreme points

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

extreme f(x,y)=|x-y|extreme points

f (x, y) = ∣ x - y ∣

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

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

extreme f(x)=sqrt(10x^2+36x+36)extreme points

f (x) = 10 x^{2} + 36 x + 36

extreme f(x)=x^4-4x^3+12 extreme points

f (x) = x^{4} - 4 x^{3} + 12

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/(x-4) ?
The extreme (x^2)/(x-4) is Maximum(0,0),Minimum(8,16)