What is the critical x^3+3x^2-x-3 ?

The critical x^3+3x^2-x-3 is x=-(sqrt(3)+2}{sqrt(3)},x=\frac{-3+2sqrt(3))/3

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critical x^3+3x^2-x-3

critical points

x^{3} + 3 x^{2} - x - 3

x = - \frac{3 + 2}{3}, x = \frac{- 3 + 2 3}{3}

Solution steps

x^{3} + 3 x^{2} - x - 3

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{3 + 2}{3}, x = \frac{- 3 + 2 3}{3}

Identify critical points not in

f (x)

domain

Domain of

x^{3} + 3 x^{2} - x - 3 : - \infty < x < \infty

All critical points are in domain

x = - \frac{3 + 2}{3}, x = \frac{- 3 + 2 3}{3}

(x + 4)^{3}

f (x) = \frac{8}{x - 7}

5 x + 3 y = 15

f (x) = \frac{1}{2} x + 4 - 5

(5.2) (7.8)

What is the critical x^3+3x^2-x-3 ?
The critical x^3+3x^2-x-3 is x=-(sqrt(3)+2}{sqrt(3)},x=\frac{-3+2sqrt(3))/3