Recitation 11 (The Chain Rule)

Objectives:

[(i)]

Students will be able to apply the chain rule and practice the other rules they have learned.
Students will know when to apply what rule.

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

[(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.

[ (15 minutes)] Have students do Problem 1. Students have done a significant number of problems like this in class and should be able to breeze through these. If a student is really stuck you can refer them to their recitation problems from exponentials where they did very similar problems. At this point in the semester a student who is really lost on these problems may be someone in a lot of trouble that you may want to schedule an office hours meeting with. If this is the case you need to be very sensitive to their feelings while at the same time accounting for their need for intervention.

[ (15 minutes)] Have students do Problem 2 and 3. Problem 2 should be easy except for the fact that it is an applied problem. Problem 3 could be a little more difficult. When most groups are done have a group present their answer to p[arts a and b of problem 3.

[ (15 minutes)] Have students do problem 4. This is purely practice for the gateway exam. Have each group write the solution to one of the parts on the board. Tell the students to all make sure they have the same answer and are in agreement with what is on the board.

[ (15 minutes)] Have students do Problem 5. It is important to note that they may not have seen this notation for a second derivative and you should let them know what the notation means. Also note we are looking for a general form here, this may confuse some students.

[ (10 minutes)] Take the last 10 minutes to write down all the standard rules of differentiation for the students on the board. Tell the students that these are absolutely necessary in order to succeed in the class. Try and make this interactive if possible. The rules so far are, Power rule, Product rule, Quotient rule, Chain rule, Trig rules (Sine, Cosine, Tangent). The have also done Natural Logarithm, ArcTan and ArcSin in class.