Teaching Video

In this video, I give a lecture about the Chain Rule, which is a very important and useful theorem in the Calculus I. After this lecture, students will be able to compute the derivatives of functions’ compositions by hands. At first, I tell students that the topic for this class is the Chain Rule and mention it’s a very important and useful theorem to compute derivatives for functions. When I write down the theorem on the whiteboard, I use red color to emphasize that the function g is differentiable with respect to its variable f(x). To explain the Chain Rule, I ask students to review the derivative of linear combinations of functions, which was taught in previous classes. By students’ answers, I write down the derivative of linear combinations besides the Chain Rule. Then I compare these two theorems, which help students to remember the new theorem. After the explanation of the Chain Rule, I review some knowledge which will be used to solve the following exercises. During the review, I write down the functions and ask students to give the derivates of them. After the review section, I give an exercise to explain how to use the Chain Rule. During the solving process, I use questions to involve students. After this exercise, I explain our following plan for the rest of this class.