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Popular Functions >

extreme f(x)=3x^2+6x+1

Solution

extreme points

f (x) = 3 x^{2} + 6 x + 1

Solution

Minimum (- 1, - 2)

Solution steps

f^{'} (x) = 6 x + 6

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

3 x^{2} + 6 x + 1 : - 2

Minimum (- 1, - 2)

Graph

Popular Examples

extreme f(x,y)=y^3+x^2-6xy+3x+6y-7

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

extreme f(x)= 2/3 x^3-x^2-12x+3

extreme f(x)=-x^3+3x^2+45x-7

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2+6x+1 ?
The extreme f(x)=3x^2+6x+1 is Minimum(-1,-2)