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Popular >

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)

Popular Examples

extreme f(x)=(-3)/(x^2-4)extreme points

f (x) = \frac{- 3}{x ^{2} - 4}

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

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

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

f (x) = x 9 - x

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

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

extreme f(x,y)=x^3+y^3-6x^2-3/2 y^2+9x-1 extreme points

f (x, y) = x^{3} + y^{3} - 6 x^{2} - \frac{3}{2} y^{2} + 9 x - 1

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)