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Popular Functions >

extreme (x^2)/2+1/x

Solution

extreme points

\frac{x ^{2}}{2} + \frac{1}{x}

Solution

Minimum (1, \frac{3}{2})

Solution steps

f^{'} (x) = x - \frac{1}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

\frac{x ^{2}}{2} + \frac{1}{x} : \frac{3}{2}

Minimum (1, \frac{3}{2})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme (x^2)/2+1/x ?
The extreme (x^2)/2+1/x is Minimum(1, 3/2)