Question

Find any critical numbers of the function.

Answer 1

(2, -4)

Explanation:

`{ \sf{f(x) = {x}^(3) - {3x}^(2) }} \\ { \sf{ {f}^(l)(x) = {3x}^(2) - 6x }} \\ \\ { \sf{0 = x(3x - 6)}} \\ { \sf{0 = 3x - 6}} \: \: \: \: \: \\ { \sf{3x = 6}} \\ { \sf{x = 2}}`

For x = 2

`{ \sf{f(2) = {2}^(3) - 3 {(2)}^(2) }} \\ { \sf{f(2) = 8 - 12}} \\ { \sf{f(2) = - 4}}`

Point is (2, -4)