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Popular >

extreme (6-x)/(x^3)

Solution

extreme points

\frac{6 - x}{x ^{3}}

Solution

Minimum (9, - \frac{1}{243})

Solution steps

f^{'} (x) = - \frac{2 ( - x + 9 )}{x ^{4}}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 9,

Increasing

: 9 < x < \infty

Plug

x = 9

into

\frac{6 - x}{x ^{3}} : - \frac{1}{243}

Minimum (9, - \frac{1}{243})

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Frequently Asked Questions (FAQ)

What is the extreme (6-x)/(x^3) ?
The extreme (6-x)/(x^3) is Minimum(9,-1/243)