What is the critical 6x^3+45x^2-108x+6 ?

The critical 6x^3+45x^2-108x+6 is x=-6,x=1

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critical 6x^3+45x^2-108x+6

critical points

6 x^{3} + 45 x^{2} - 108 x + 6

x = - 6, x = 1

Solution steps

6 x^{3} + 45 x^{2} - 108 x + 6

Find where

f^{'} (x)

is equal to zero or undefined

x = - 6, x = 1

Identify critical points not in

f (x)

domain

Domain of

6 x^{3} + 45 x^{2} - 108 x + 6 : - \infty < x < \infty

All critical points are in domain

x = - 6, x = 1

What is the critical 6x^3+45x^2-108x+6 ?
The critical 6x^3+45x^2-108x+6 is x=-6,x=1