We started by looking at some problems with derivatives, they included the product rule, quotient rule, and the chain rule. The format of the problems was a bit different than usual.
After that, we looked at the mean value theorem and what it really means. Given two points and the values of a function in between, if the function is differentiable than one (possibly more) point will have the same slope as the average slope. The average slope is found using methods used in algebra.
Also looked at some optimization problems where the basic approach is to find an equation and then set the first derivative equal to zero since the slope will be zero at maxima and minima (and inflection points).