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

The critical y=x^3-12x is x=-2,x=2

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critical y=x^3-12x

critical points

y = x^{3} - 12 x

x = - 2, x = 2

Solution steps

x^{3} - 12 x

Find where

f^{'} (x)

is equal to zero or undefined

x = - 2, x = 2

Identify critical points not in

f (x)

domain

Domain of

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

All critical points are in domain

x = - 2, x = 2

3 x - 5

(11, - 2), (2, - 3)

f (x) = 2 x^{2} - 5 x + 1

f (x) = 5 - \frac{2}{3} x

f (x) = 9 x^{2} - 2 x^{3}