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Popular Functions >

extreme f(x)=2x+(64)/(x^2)

Solution

extreme points

f (x) = 2 x + \frac{64}{x ^{2}}

Solution

Minimum (4, 12)

Solution steps

f^{'} (x) = 2 - \frac{128}{x ^{3}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 4

into

2 x + \frac{64}{x ^{2}} : 12

Minimum (4, 12)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=2x+(64)/(x^2) ?
The extreme f(x)=2x+(64)/(x^2) is Minimum(4,12)