00:01
So today we're going to be covering another topic within the derivative at a point.
00:06
And i'm going to more specifically be going into how to interpret values and rates, especially in more real world problems.
00:18
So with values, usually in, you know, these kind of real application problems, you're given this sort of input -output situation.
00:29
And for values specifically, it's usually at a given point in time, what is the amount of something that you're measuring? and for rates, usually, you're given two points of time and seeing the change of what is being measured, whether that's increasing or decreasing.
00:49
And so in this question, we're seeing a lot more of the rates between changes of different years.
00:56
And let me kind of explain what's going on in the situation.
01:00
So we're already given that e of x is a function that measures the arctic sea ice extent from in a million square kilometers.
01:15
And this x here, that's the input of the function, is the years after february of 1979.
01:26
And so if we look back at the question, we see here that the first function that we have here has been, was measured 29 years after 1979.
01:42
And the second one that is being subtracted from this one is four years after.
01:49
So if we add both 29 and add 4 to 1979...