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Popular Functions >

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

Solution

extreme points

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

Solution

Saddle (1, 1)

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

Saddle (1, 1)

Graph

Popular Examples

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extreme f(x,y)=ln(xy-6)

extreme f(x)=2x^3-3x^2

extreme f(x,y)= 1/(sqrt(16-x^2-y^2))

Frequently Asked Questions (FAQ)

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