Recitation 15

The First and Second Derivative

Objectives:

• Students will be able to find and classify critical points.

Lesson Plan

• [ (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 work through problems 1-3. The point of these problems is not algebra but calculus, the problems should have easy algebra. If a student gets stuck on algebra give them the assistance they need to focus on the calculus.

• [ (5 minutes)] Have students solve number 4. This is supposed to be a graphical reasoning problem not an algebraic problem. The point is not to find all the extrema, but so say something like, $-\cos(x)$ crosses $2e^x$ an infinite number of times when $x<0$.

• [ (10 minutes)] Have students work together on problem 5.

• [ (10 minutes)] Have students work together on problem 6. This problem requires algebra.

• [ (15 minutes)] Have students work together on problem 7. Make sure to look at problem 7 before you go into the classroom, it can be tricky.

• [ (20 minutes)] Assign different people the task of presenting their answers to each problem to the entire recitation.