Maxima, Minima, Mean Value Theorems
Critical points, the first and second derivative tests and when the second test is silent, global extrema on closed intervals by comparing all candidates, open intervals and endpoints, increasing and decreasing functions, concavity and inflection points, optimisation set-ups, a brief two-variable test, and Rolle's, Lagrange's and Cauchy's mean value theorems with their exact hypotheses, worked values of c and the functions that fail them.