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Popular Functions >

extreme (x^2)/(x-8)

Solution

extreme points

\frac{x ^{2}}{x - 8}

Solution

Maximum (0, 0), Minimum (16, 32)

Solution steps

f^{'} (x) = \frac{x ^{2} - 16 x}{( x - 8 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 8,

Decreasing

: 8 < x < 16,

Increasing

: 16 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x - 8} : 0

Maximum (0, 0)

Plug

x = 16

into

\frac{x ^{2}}{x - 8} : 32

Minimum (16, 32)

Maximum (0, 0), Minimum (16, 32)

Graph

Popular Examples

extreme f(x,y)=2x+3y

extreme f(x)=xsqrt(9-x)

extreme f(x)= x/(x^2-x+16)

extreme f(x)=(x^3)/3-5x^2+16x-100

extreme f(x)=x^3+10x^2+8

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/(x-8) ?
The extreme (x^2)/(x-8) is Maximum(0,0),Minimum(16,32)