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Popular Functions >

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

Solution

extreme points

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

Solution

Maximum (8, \frac{1}{16})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 8,

Decreasing

: 8 < x < \infty

Plug

x = 8

into

\frac{x - 4}{x ^{2}} : \frac{1}{16}

Maximum (8, \frac{1}{16})

Graph

Popular Examples

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extreme f(x)=-x^3-9x^2-24x+2

Frequently Asked Questions (FAQ)

What is the extreme (x-4)/(x^2) ?
The extreme (x-4)/(x^2) is Maximum(8, 1/16)