Recitation 17

Global Extrema Part 2

Objectives:

• Students will be able to find and classify critical points and decide if they are local or global maxima.

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 problem1 . Make sure you have tried the problem before you go into the classroom as this one can be somewhat challenging.

• [ (10 minutes)] Have students solve number 2 the purpose of this problem is to show students that all the information they are using can be very useful for graphin.

• [ (10 minutes)] If a group of students is really struggling have them complete problem 4 and skip problem 4, if everything is going fine then have the group do problem 4.

• [ (10 minutes)] Have students work through problem 7 . 7C is especially hard and the hint sometimes has had an error. The hint should read something like \[-\frac{270}{x^2}+\frac{20 \log (x)}{x^2}+\frac{1}{10}=0\] when $x \approx 44.0773$. This is a hard problem, but something that they should at least be able to set up.

• [ (20 minutes)] Every groups needs to have a solution to problem 8 and 9. These problems are exam level problems and they should expect to see something like this on an exam.

• [ (10 minutes)] Go over problems 8 and 9 slowly and in detail.