Recitation 10

Recitation 10

Objectives:

[(i)]

• Students will be able to apply the product rule and find the derivative of exponential functions.
• Students will know when to apply what rule.

\boxed{\parbox[c]{6.5in}{ Important Notes:

\textbf{Note:} In the typical flow of a course this recitation takes place after an exam. Students may want to talk about the difficulty of the exam. This is a reasonable thing to let them talk about. However, don't let this take up more then five minutes of class time.

[(i)]

• [ (5 minutes)] Welcome the class to recitation. Ask students if they have filled in the notes section of the packet. Tell students that they should be filling in the notes section before coming to recitation.

• [ (10 minutes)] Have students do Problem 1. Remind students that this is preparation for the gateway exam and we exact students to be able to push through problems like this with relative ease. Some students may say they have not learned what to do etc. Tell these students that this is something that takes practice and they need to make sure to practice this many many times.

• [ (10 minutes)] Have students do Problem 2 and 3. You may need to remind students about point slope form.

• [ (10 minutes)] Have students do problem 4. Note: we are approximating a year using the derivative, this is admittedly a strange approximation but this is an approximation that the book makes heavy use of.

• [ (5 minutes)] Have students do Problem 5.

\textbf{Have students move onto the section on the Product and Quotient Rule}

• [ (5 minutes)] Have students do Problem 1. Note that problem 1c may not be best solved by the quotient rule and we are not using the chain rule yet so 1b should be solved using the product rule. Beware that many students will try to solve 1g using the quotient rule (afterall $5/\sqrt[3]{x}$ is a quotient right?).

• [ (10 minutes)] Have students do Problem 2 and 3.

• [ (10 minutes)] Have students do Problem 4, note this is really about differentiability implies continuity not the product or quotient rules.

• [ (5 minutes)] If you have some strong students have them work on problem 6 and 7, otherwise skip 6 and 7. Use your discretion to pick problems from 8, 9, and 10 to finish recitation.

• [ (5 minutes)] Take 5 minutes at the end of c lass to summarize everything that students did with the product and quotient rule.