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Popular Functions >

extreme (x^2-8)/(x-3)

Solution

extreme points

\frac{x ^{2} - 8}{x - 3}

Solution

Maximum (2, 4), Minimum (4, 8)

Solution steps

f^{'} (x) = \frac{x ^{2} - 6 x + 8}{( x - 3 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < 3,

Decreasing

: 3 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 2

into

\frac{x ^{2} - 8}{x - 3} : 4

Maximum (2, 4)

Plug

x = 4

into

\frac{x ^{2} - 8}{x - 3} : 8

Minimum (4, 8)

Maximum (2, 4), Minimum (4, 8)

Graph

Popular Examples

asymptotes of ln(x+3)

intercepts of f(x)=2x-y=6

range of f(x)=(x-2)/(x+3)

inverse of f(x)=(-4+\sqrt[3]{4x})/2

domain of f(x)=(x-1)/(x^2-2x-3)

Frequently Asked Questions (FAQ)

What is the extreme (x^2-8)/(x-3) ?
The extreme (x^2-8)/(x-3) is Maximum(2,4),Minimum(4,8)