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

The critical x^3+x^2-2x is x=-(1+sqrt(7))/3 ,x=(-1+sqrt(7))/3

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critical x^3+x^2-2x

critical points

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

x = - \frac{1 + 7}{3}, x = \frac{- 1 + 7}{3}

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{1 + 7}{3}, x = \frac{- 1 + 7}{3}

Identify critical points not in

f (x)

domain

Domain of

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

All critical points are in domain

x = - \frac{1 + 7}{3}, x = \frac{- 1 + 7}{3}

\frac{x ^{2}}{x - 5}

f (x) = 2 x^{2} - 5 x + 6

f (x) = x^{2} - 121

4 x + 3

f (x) = - 3 x^{2} + 24 x

What is the critical x^3+x^2-2x ?
The critical x^3+x^2-2x is x=-(1+sqrt(7))/3 ,x=(-1+sqrt(7))/3