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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, 2)

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 : 2

Saddle (- 1, 2)

Popular Examples

domain of f(x)= x/(sqrt(x-6))domain

f (x) = \frac{x}{x - 6}

range of (x+4)/(x-5)range

\frac{x + 4}{x - 5}

inverse of f(x)=-6x-2 inverse

f (x) = - 6 x - 2

symmetry y=2x^2-12x+9 symmetry

y = 2 x^{2} - 12 x + 9

asymptotes of f(x)=(x^2-2x-8)/(x^2-6x+8)asymptotes

f (x) = \frac{x ^{2} - 2 x - 8}{x ^{2} - 6 x + 8}

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(-1,2)