Recitation 12

Recitation 12 (Derivatives and Implicit Differentiation)

Objectives:

[(i)]

• Students will be be able to take implicit derivatives.
• Introduce logarithmic differentiation.
• Reintroduce hyperbolic trigonometry.

\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.

• [ (10 minutes)] Have students do Problem 1. Problem 1 is hard in the sense that it is the first word problem they have encountered in a while.

• [ (10 minutes)] Have students do Problem 2. Likely the student have already forgotten the arc functions. However, they should be in the students notes two pages earlier. Have students refer to their notes. If a student has nothing written down in their notes then they likely are not attending class. You should point out that class counts toward their grade and is the easiest points they can earn all semester.

• [ (10 minutes)] Have students do problem 3.

• [ (20 minutes)] Have students do Problem 4 and 5. This is actually a hard problem, make sure you have worked it out before class.

• [ (10 minutes)] Have students do Problem 6, this is called logarithmic differentiation. If you have never seen this before no problem, but you might want to work out the details before you get to recitation.

• [ (10 minutes)] Take the last 10 minutes to go over problems 7-9, Hyperbolic trig is something the students have likely never seen and some instructors will skip altogether, I recommend doing 7-9 at the bard with the class. Make this interactive, but lead the class over the topics.