2.1.2: The Derivative
Take notes as you watch this video. Listen to the presentation carefully until you are able to understand how to find the slope (or derivative) of a curve at a particular point.
Read this section on finding derivatives, stopping at "Review Questions." Watch the videos in the section as well. This instruction discusses how to understand the derivative of a function as a slope of the tangent line. It also includes a discussion on the relationship between continuity and differentiability.
Complete Exercises 1-9 in the section titled "Find the Derivative by Definition." These exercises will provide you with the opportunity to find the derivative by definition. The solution for each problem can be found by clicking on the gray triangle beside each problem. The solution is the derivative of the function.