Class Info

  • Date: Mon Oct 16
  • Meeting Info: 12p-1:40p, N700

Announcements

We will have our first midterm exam (Exam #1) on Wednesday. See below for a list of topics and exercises to to review.

Topics

We spent the class reviewing for the exam. The main topics we have covered so far this semester and which which will be covered on the exam are:

  • the limit definition of the derivative
  • finding the equation of a tangent line at a given point (using the derivative to find the slope), and sketching such a tangent line for a given graph/point
  • the differentiation rules

These topics were covered in the two quizzes, so you can start by reviewing the quiz solutions, which are available via OpenLab Files.

You should also understand this graph, which is related to the limit definition of the derivative (how the difference quotient arises as the slope of a secant line):

For the limit definition of the derivative, we reviewed Exercise #1 from the WebWork “Derivatives – Limit Definition” and also Quiz #1. (You can see further details on the WebWork exercise in the Class 4 Recap.)

For the differentiation rules, you can review the “Power Rule”, “Product Rule” and “Quotient Rule” WebWork sets. You can also review the differentiation examples we did in Class 7, Class 8, Class 9 and Class 10.

We also went through Quiz #2 in detail, which covered the Power Rule and the Product Rule, and writing the equation of a tangent line:

We also went through a Quotient Rule example, based on the functions from Quiz #2: