2.1.1: Tangent Lines and Rates of Change
Take notes as you watch this video. Listen to the presentation carefully until you are able to apply concepts of slope to the tangent line of a graph. You will also need to understand that the derivative is the slope of a curve at a point.
Read this section on tangent lines and rates of change. Watch the videos in the section as well. This instruction discusses how to understand the slope of the tangent line of a graph as well as the average and the instantaneous rates of change. Then, complete review questions 1-6 at the bottom of the page. These exercises will provide you with the opportunity to solve problems using the slope of a tangent line as well as the average and the instantaneous rates of change. The solutions to these problems are located here.