What is the critical x^3-4x^2-x+2 ?

The critical x^3-4x^2-x+2 is x=(4-sqrt(19))/3 ,x=(4+sqrt(19))/3

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critical x^3-4x^2-x+2

critical points

x^{3} - 4 x^{2} - x + 2

x = \frac{4 - 19}{3}, x = \frac{4 + 19}{3}

Solution steps

x^{3} - 4 x^{2} - x + 2

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{4 - 19}{3}, x = \frac{4 + 19}{3}

Identify critical points not in

f (x)

domain

Domain of

x^{3} - 4 x^{2} - x + 2 : - \infty < x < \infty

All critical points are in domain

x = \frac{4 - 19}{3}, x = \frac{4 + 19}{3}

f (x) = \frac{x ^{2}}{x ^{2} - 16}

f (x) = \frac{4}{x}

f (x) = e^{x - 3}

\frac{1}{x - 3}

f (x) = x^{\frac{1}{7}} (x + 8)

What is the critical x^3-4x^2-x+2 ?
The critical x^3-4x^2-x+2 is x=(4-sqrt(19))/3 ,x=(4+sqrt(19))/3