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Popular >

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

Solution

extreme points

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

Solution

Saddle (- 1, 0)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

x^{3} + 3 x^{2} + 3 x + 1 : 0

Saddle (- 1, 0)

Popular Examples

extreme 16(x-1)^4-4(x-1)^2+1 extreme points

16 (x - 1)^{4} - 4 (x - 1)^{2} + 1

extreme f(x,y)=x^2+3xy+y-1 extreme points

f (x, y) = x^{2} + 3 x y + y - 1

extreme f(xy)=x^3+y^3+3x^2-18y+5 extreme points

f (x y) = x^{3} + y^{3} + 3 x^{2} - 18 y + 5

extreme f(x,y)=2x^3+2y^3-9x^2+3y^2-12y extreme points

f (x, y) = 2 x^{3} + 2 y^{3} - 9 x^{2} + 3 y^{2} - 12 y

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

f (x) = 2 x^{4} - 4 x^{2} + 3

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3+3x^2+3x+1 ?
The extreme f(x)=x^3+3x^2+3x+1 is Saddle(-1,0)