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Popular >

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

Solution

extreme points

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

Solution

Saddle (1, 4)

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 + 3 : 4

Saddle (1, 4)

Popular Examples

critical f(x)=x^3-3x^2+3x-7 critical points

f (x) = x^{3} - 3 x^{2} + 3 x - 7

asymptotes of f(x)=(x+3)/(x-1)asymptotes

f (x) = \frac{x + 3}{x - 1}

amplitude of f(x)=4sin(2x-pi/6)+2 amplitude

f (x) = 4 sin (2 x - \frac{π}{6}) + 2

inverse of x^2-3x inverse

x^{2} - 3 x

domain of f(x)=(8x+3)/(7x+9)domain

f (x) = \frac{8 x + 3}{7 x + 9}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-3x^2+3x+3 ?
The extreme f(x)=x^3-3x^2+3x+3 is Saddle(1,4)