00:01
We've got some function g, which we know is a function of p.
00:05
Now, g stands for the number of gallons of paint we have sold, and p stands for the price of a gallon of paint.
00:12
So, with this, let's talk about its derivative, dg, d .p.
00:17
This ties into what we've been talking about all chapter.
00:20
That is, this whole chapter has been studying various aspects of the derivative, and now we can apply them to some problems.
00:26
So, dgdp, let's discuss its units.
00:29
This is the change in numbers of gallons sold over change in price of paint.
00:36
So that's going to be gallons of paint sold per price of paint, or just price, dollars.
00:45
So our units are gallons per dollars, or gallons per dollar.
00:50
Now that we have that in mind, let's talk a bit about some other aspects of dgdp.
00:56
That is, what does this really mean practically if you were to talk about it in conversation? well, dg is the change in the gallons of paint sold, and d .p.
01:06
Is the change in the price.
01:07
So, in essence, we're saying the change in the number of gallons sold per change in price.
01:15
That is, change in sales per price change...