What is the critical x^3-x ?

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

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critical x^3-x

critical points

x^{3} - x

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

Solution steps

x^{3} - x

Find where

f^{'} (x)

is equal to zero or undefined

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

Identify critical points not in

f (x)

domain

Domain of

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

All critical points are in domain

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

f (x) = \frac{8 x}{( x + 9 ) ^{2}}

f (x) = \frac{2}{x - 3} + 4

\frac{1}{x ^{2} - 1}

f (x) = - 2 x

f (x) = 3 sin (π x + 6) - 3

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