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Popular Functions >

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

Solution

extreme

Solution

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

Solution steps

f^{'} (x) = 4 x - 2

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{2}

into

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

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

Graph

Popular Examples

extreme f(x)=-x^3-10x

extreme f(x,y)=6x^2-5y^2+6x+y+5

extreme f(x)=ln((x+3)/(x-3))

extreme f(x)=((x^2-11x+82))/(x-9)

extreme p(x)=x^2(a+3)x^3+2x+a^2+5

Frequently Asked Questions (FAQ)

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