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Popular Functions >

extreme f(x)=(4x-8)/(x^3)

Solution

extreme points

f (x) = \frac{4 x - 8}{x ^{3}}

Solution

Maximum (3, \frac{4}{27})

Solution steps

f^{'} (x) = \frac{8 ( - x + 3 )}{x ^{4}}

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 3

into

\frac{4 x - 8}{x ^{3}} : \frac{4}{27}

Maximum (3, \frac{4}{27})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(4x-8)/(x^3) ?
The extreme f(x)=(4x-8)/(x^3) is Maximum(3, 4/27)