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Popular Functions >

extreme f(x)= 1/2 x^2-x

Solution

extreme points

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

Solution

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

Solution steps

f^{'} (x) = x - 1

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

\frac{1}{2} x^{2} - x : - \frac{1}{2}

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

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)= 1/2 x^2-x ?
The extreme f(x)= 1/2 x^2-x is Minimum(1,-1/2)