00:01
Okay, so we're going to be finding all the functions that have this given derivative, f prime of x is equal to 2.
00:08
If we look at a derivative of a just x variable rate to some power, so we're looking at the power rule here, we know that this is equal to n times x to the n minus one power, so all we do is bring down the power and then minus one to it.
00:23
And so what we can say here is if we had an x to the first or if n was equal to one, then the derivative of that would be, 1 times x to the 0th and x to the 0th is equal to 1.
00:34
So that would just be equal to 1.
00:37
So that'll leave us with just a constant as our derivative, which is what we want.
00:43
The only thing is we want a 2, not a 1...