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Popular >

extreme f(x)=x+(108)/(x^2)

Solution

extreme points

f (x) = x + \frac{108}{x ^{2}}

Solution

Minimum (6, 9)

Solution steps

f^{'} (x) = 1 - \frac{216}{x ^{3}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 6,

Increasing

: 6 < x < \infty

Plug

x = 6

into

x + \frac{108}{x ^{2}} : 9

Minimum (6, 9)

Popular Examples

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extreme f(x)=e^{-6x^2}extreme points

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x+(108)/(x^2) ?
The extreme f(x)=x+(108)/(x^2) is Minimum(6,9)