12 questions
Includes diagrams
AP Calculus AB · Unit 1: Limits and Continuity
1.1 Change over shrinking intervals1.2 One-sided and two-sided limit notation1.3 Limits read from graphs1.4 Limits estimated from tables1.5 Limit laws and substitution1.6 Algebraic simplification of limits1.7 Choosing a limit method1.8 Bounding a function with the squeeze theorem
12 questions
Includes diagrams
AP Calculus AB · Unit 2: Differentiation: Definition and Fundamental Properties
2.1 Secant and tangent slopes2.2 Derivative definitions and notation2.3 Numerical estimates of derivatives2.4 Continuity versus differentiability2.5 The power rule2.6 Linearity of differentiation2.7 Basic trigonometric, exponential, and logarithmic derivatives2.8 Products of functions
12 questions
AP Calculus AB · Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
3.1 Nested functions and the chain rule3.2 Implicit derivatives3.3 Derivatives of inverse functions3.4 Inverse trigonometric derivatives3.5 Selecting and combining derivative rules3.6 Higher derivatives
12 questions
AP Calculus AB · Unit 4: Contextual Applications of Differentiation
4.1 Interpreting a derivative and its units4.2 Position, velocity, acceleration, and speed4.3 Rates in scientific and economic models4.4 Building a related-rates equation4.5 Solving related-rates questions4.6 Tangent-line estimates and local error4.7 Indeterminate forms and L’Hospital’s rule
12 questions
Includes diagrams
AP Calculus AB · Unit 5: Analytical Applications of Differentiation
5.1 Mean Value Theorem hypotheses and conclusions5.2 Existence of extrema and critical points5.3 Increasing and decreasing intervals5.4 Sign changes and the first derivative test5.5 Absolute extrema by candidate comparison5.6 Concavity and inflection points5.7 Second derivative tests5.8 Graphing from derivative evidence
