00:01
For this problem, we've been given a function.
00:02
F of x equals x cubed minus 3x squared.
00:06
And our goal for the problem is to find the critical numbers of the function.
00:10
So let's review what a critical number is.
00:15
Critical numbers of functions happen in one of two types of places.
00:19
Either the derivative of the function equals zero or the derivative is undefined.
00:26
So if we've been asked to find critical numbers, our first step needs to be to find the derivative of our function.
00:33
So for our function f, the derivative, we can just use the power rule here.
00:39
X cubed, bring down that exponent, becomes 3x squared, and then again bring down the exponent minus 6x...