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Popular Functions >

extreme y=x^2+x+1

Solution

extreme points

y = x^{2} + x + 1

Solution

Minimum (- \frac{1}{2}, \frac{3}{4})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = - \frac{1}{2}

into

x^{2} + x + 1 : \frac{3}{4}

Minimum (- \frac{1}{2}, \frac{3}{4})

Graph

Popular Examples

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extreme f(x)=18xy-x^3-9y^2

extreme f(x)=15x^4-4x^3,-2<= x<= 2

extreme y=2x^3-24x^2+90x+8

extreme f(x)=x^{2/3}(x-3)

Frequently Asked Questions (FAQ)

What is the extreme y=x^2+x+1 ?
The extreme y=x^2+x+1 is Minimum(-1/2 , 3/4)