Connecting a function, its first derivative, and its second derivative (K-A)

Determining concavity of intervals and finding points of inflection: algebraic (K-A)

Determining concavity of intervals and finding points of inflection: graphical (K-A)

Determining intervals on which a function is increasing or decreasing (K-A)

Exploring behaviors of implicit relations (K-A)

Extreme value theorem, global versus local extrema, and critical points (K-A)

Sketching curves of functions and their derivatives (K-A)

Solving optimization problems (K-A)

Using the candidates test to find absolute (global) extrema (K-A)

Using the first derivative test to find relative (local) extrema (K-A)

Using the mean value theorem (K-A)

Using the second derivative test to find extrema (K-A)