00:01
This problem was kind of fun because they snuck in a fact that you need in order to answer this question.
00:11
Because instead of telling you what the ordered pair, well, i guess they do tell you the ordered pairs, where they tell you f of 1 equals 1.
00:21
They write it as an ordered pair.
00:23
And they don't tell you that f prime of 1 equals.
00:27
They'd say that the slope at this point equals 3.
00:31
But that's what this really means, that f prime of 1 equals 3.
00:34
So the first thing that you need to do is to take the integral of this, because it'll give us the f prime, take away a derivative.
00:45
So add one to the exponent and divide by your new exponent.
00:49
Well, 12, divide by 3 gives me 4.
00:52
And just thinking about the derivative of 4x cubed is 12x squared, if you're ever struggling.
00:56
The derivative of 2x is 2.
00:58
But you need this plus c because when you plug in one and for all of those x's, you need to get three.
01:11
So it would be four plus two is six...