This lesson covers rates of change and related rates using examples in different contexts such as temperature, area, velocity, population growth, and electrical circuits. The derivative is introduced as the instantaneous rate of change, and related rates problems are solved using implicit differentiation and the chain rule. The lesson also includes a demonstration of how to find the rate at which a spotlight moves past a point on the shoreline, and the rate at which a tank with a cone shape fills up with water.
The derivative as rate of change. Related rates problems.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.