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Popular Functions >

extreme 5+6/x+(18)/(x^2)

Solution

extreme points

5 + \frac{6}{x} + \frac{18}{x ^{2}}

Solution

Minimum (- 6, \frac{9}{2})

Solution steps

f^{'} (x) = - \frac{6}{x ^{2}} - \frac{36}{x ^{3}}

Find intervals:

Decreasing

: - \infty < x < - 6,

Increasing

: - 6 < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - 6

into

5 + \frac{6}{x} + \frac{18}{x ^{2}} : \frac{9}{2}

Minimum (- 6, \frac{9}{2})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 5+6/x+(18)/(x^2) ?
The extreme 5+6/x+(18)/(x^2) is Minimum(-6, 9/2)