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Popular Functions >

extreme f(x)=x(x-1)

Solution

extreme

Solution

Minimum (\frac{1}{2}, - \frac{1}{4})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < \frac{1}{2},

Increasing

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

x (x - 1) : - \frac{1}{4}

Minimum (\frac{1}{2}, - \frac{1}{4})

Graph

Popular Examples

extreme f(x)=-6sin^2(x)

extreme f(x)=x^4-72x^2+3

extreme f(x)=x^4-72x^2+7

extreme f(x,y)=x^2+6x+y^3-6y^2+10

extreme f(x)=4x+324x,0<x<infinity

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x(x-1) ?
The extreme f(x)=x(x-1) is Minimum(1/2 ,-1/4)