Practice Problem Set: Optimization
A practice problem set on optimization for AP Calculus AB & BC, with fully worked solutions covering area, volume, cost, distance, and related optimization strategies.
Practice Problem Set: Extrema and the Mean Value Theorem
Practice problems covering absolute and local extrema, critical points, the Extreme Value Theorem, Rolle
Practice Problem Set: Curve Sketching
Practice curve sketching using derivatives, critical points, concavity, asymptotes, intercepts, and end behavior for AP Calculus AB & BC.
Points of Inflection Explained
Learn how to identify points of inflection using the second derivative, including how to find candidates, test for a change in concavity, and avoid common AP Calculus mistakes.
Optimization: Minimizing Cost and Distance
Learn how to solve AP Calculus optimization problems involving minimum cost and minimum distance, with step-by-step methods and fully worked examples for AP Calculus AB & BC.
Optimization: Maximizing Area and Volume
Learn how to solve AP Calculus optimization problems involving maximum area and volume, with step-by-step methods and fully worked examples.
Optimization in Economics: Profit Maximization
Learn how to use derivatives to maximize profit in economics, including revenue, cost, marginal revenue, marginal cost, and fully worked AP Calculus examples.
Optimization Problems with Constraints
Learn how to solve AP Calculus optimization problems with constraints using a systematic step-by-step method and fully worked examples.
Justifying Conclusions About Function Behavior Using Calculus
How to justify conclusions about increasing and decreasing intervals, relative extrema, concavity, and inflection points using derivatives and calculus theorems in AP Calculus AB & BC.
Extreme Value Theorem and Candidates Test
Learn how the Extreme Value Theorem guarantees absolute extrema and how to use the Candidates Test to find absolute maximum and minimum values on a closed interval in AP Calculus AB & BC.