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Popular >

extreme f(x)=x+(256)/(x^2)

Solution

extreme points

f (x) = x + \frac{256}{x ^{2}}

Solution

Minimum (8, 12)

Solution steps

f^{'} (x) = 1 - \frac{512}{x ^{3}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 8,

Increasing

: 8 < x < \infty

Plug

x = 8

into

x + \frac{256}{x ^{2}} : 12

Minimum (8, 12)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x+(256)/(x^2) ?
The extreme f(x)=x+(256)/(x^2) is Minimum(8,12)