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AP Calculus AB

Free study sets covering every unit of AP Calculus AB. Limits and continuity, differentiation, applications of derivatives, integration, applications of integration. Multiple choice and free-response practice.

46 study sets · 8 sections

Unit 1: Limits & Continuity

Limit definitions, IVT, continuity.

AP Calc AB Limits Definition and Notation

AP Calc AB Limits Algebraic Techniques

AP Calc AB One Sided Limits

AP Calc AB Limits at Infinity

AP Calc AB Continuity at a Point

AP Calc AB Intermediate Value Theorem

AP Calc AB Squeeze Theorem

AP Calc AB Removable vs Non Removable Discontinuities

Unit 2: Differentiation Rules

Power, product, quotient.

AP Calc AB Power Rule

AP Calc AB Product Rule

AP Calc AB Trig Function Derivatives

AP Calc AB Exponential and Log Derivatives

AP Calc AB Differentiability and Continuity

Unit 3: Composite & Implicit

Chain rule, implicit, log.

AP Calc AB Chain Rule

AP Calc AB Implicit Differentiation

AP Calc AB Inverse Function Derivatives

AP Calc AB Inverse Trig Derivatives

AP Calc AB Logarithmic Differentiation

AP Calc AB Higher Order Derivatives

AP Calc AB Selecting the Right Differentiation Procedure

Unit 4: Contextual Applications

Related rates, motion, L'Hôpital.

AP Calc AB Linear Approximation and Differentials

AP Calc AB L Hopitals Rule

AP Calc AB Position Velocity Acceleration

AP Calc AB Rates of Change in Applied Contexts

Unit 5: Analytical Applications

MVT, optimization, curve sketching.

AP Calc AB Mean Value Theorem

AP Calc AB Extreme Value Theorem

AP Calc AB Critical Points and First Derivative Test

AP Calc AB Second Derivative Test

AP Calc AB Concavity and Inflection Points

AP Calc AB Curve Sketching from f and f Prime

AP Calc AB Optimization Word Problems

AP Calc AB Absolute vs Relative Extrema

Unit 6: Integration

Riemann sums, FTC, u-sub.

AP Calc AB Riemann Sums Left Right Midpoint

AP Calc AB Definite Integral as Limit of Riemann Sum

AP Calc AB Fundamental Theorem of Calculus Part 1

AP Calc AB Fundamental Theorem of Calculus Part 2

AP Calc AB Antiderivatives and Indefinite Integrals

AP Calc AB U Substitution

AP Calc AB Integrals of Trig Functions

AP Calc AB Definite Integral Properties

Unit 7: Differential Equations

Slope fields, separable ODEs.

AP Calc AB Slope Fields

AP Calc AB Separable Differential Equations

AP Calc AB Exponential Growth and Decay Models

AP Calc AB Particular Solutions to ODEs

Unit 8: Applications of Integration

Avg value, area, volumes.

AP Calc AB Average Value of a Function

AP Calc AB Area Between Curves