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Popular Functions >

extreme x+(32)/(x^2)

Solution

extreme points

x + \frac{32}{x ^{2}}

Solution

Minimum (4, 6)

Solution steps

f^{'} (x) = 1 - \frac{64}{x ^{3}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 4

into

x + \frac{32}{x ^{2}} : 6

Minimum (4, 6)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x+(32)/(x^2) ?
The extreme x+(32)/(x^2) is Minimum(4,6)