We usually think of formulas as static things - you put in numbers and you get out a number. Instead, suppose we think about each variable as being something that changes over time. For example, as a ripple spreads through a pond, both the radius and the area are changing but at different rates. In this lecture, we're going to look at a way that uses the idea of implicit differentiation to find relationships between those rates of change.

Now that we've got the concept or related rates down, we can talk about how this can be applied to specific real world situations.