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Popular >

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})

Popular Examples

critical f(x)= x/((x^3-1))critical points

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

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f (x) = \frac{- 3}{2 x + 5}

critical f(x)=xsqrt(49-x^2)critical points

f (x) = x 49 - x^{2}

domain of f(x)=sqrt(x-1)sqrt(1-x)domain

f (x) = x - 1 1 - x

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f (x) = (x - 1)^{2} + 2

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)