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Popular Functions >

extreme y=3x^2-2x+1

Solution

extreme points

y = 3 x^{2} - 2 x + 1

Solution

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

Solution steps

f^{'} (x) = 6 x - 2

Find intervals:

Decreasing

: - \infty < x < \frac{1}{3},

Increasing

: \frac{1}{3} < x < \infty

Plug

x = \frac{1}{3}

into

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

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

Graph

Popular Examples

extreme f(x,y)=3(x^2+y^2)e^{y^2-x^2}

extreme f(x)=4x^2+y^2

extreme f(x)=2x^4+16x^3+27

extreme f(x)=x^3+y^2+2xy-4x-3y+5

extreme f(x)=-x^4+6x^2

Frequently Asked Questions (FAQ)

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