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So of course we are starting a new section and its kind of graph related you could say, we started off by learning what critical numbers were: max's and mins. So if the question may ask to find a critical number, you would be looking for the max or min. Now there are two theorems that you use. The two theorems are Rolle's theorem and Mean Value theorem. For each of these theorems your going to have to figure out if it's continuous and differentiable before continuing. Rolle's theorem deals with intervals, and it's to tell the max and min. Mean value theorem is dealing with slope.. I'll explain section 3.3 since I know it. 3.3 is dealing with the first derivative test. The first derivative test has 3 steps to it: 1. Take derivative=0. 2. Solve for x. 3. Set up intervals, then plug back into derivative. (This will tell you whether the number is increasing or decreasing.) and i don't really have any of my math stuff with me so i cant really give you any examples :/