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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

domain of f(x)=-sqrt(x-2)domain

f (x) = - x - 2

domain of f(x)= x/(x-3)domain

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

domain of 1/((x-2)(x+5))domain

\frac{1}{( x - 2 ) ( x + 5 )}

domain of f(x)= 1/(sqrt(x^2-2x))domain

f (x) = \frac{1}{x ^{2} - 2 x}

asymptotes of f(x)=(x^2-x-2)/(x-2)asymptotes

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

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)