What is the critical 12x^3-12x ?

The critical 12x^3-12x is x=-1/(sqrt(3)),x= 1/(sqrt(3))

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critical 12x^3-12x

critical points

12 x^{3} - 12 x

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

Solution steps

12 x^{3} - 12 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

12 x^{3} - 12 x : - \infty < x < \infty

All critical points are in domain

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

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

f (x) = sin (x) + cos (x), (0, 2 π)

f (x) = sin (\frac{x}{2})

f (x, y) = 3 x^{3} y + y^{2}

f (x, y) = 3 x^{2} - 2 x y + y^{2} - 8 y

What is the critical 12x^3-12x ?
The critical 12x^3-12x is x=-1/(sqrt(3)),x= 1/(sqrt(3))