AP Calculus AB Easy Worksheet™

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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free) A (Random) Limits and Continuity a. LO 1.1A Limit Notation (includes 1-sided) b. LO 1.1A Finding 1-sided Limits c. LO 1.1A Determing if a limit exists d. LO 1.1A (Optional) Definition of Limit e. LO 1.1B Estimating Limits Numerically f. LO 1.1C Evaluating Basic Limits g. LO 1.1C Limits of Polynomial, Trigonometric, and Rational Functions h. LO 1.1C Limits of Composite Functions i. LO 1.1C The Squeeze Theorem j. LO 1.1C Using L'Hospital's Rule k. LO 1.1D Finding Vertical Asymptotes of Rational Functions l. LO 1.1D Finding Horizontal Asymptotes of Rational Functions m. LO 1.1D Finding Slant Asymptotes of Rational Functions n. LO 1.1D, 2.1A, and 2.3B Finding the Slope of the Tangent Line at a point o. LO 1.2A Definition of Continuity p. LO 1.2A Properties of Continuity q. LO 1.2B The Intermediate Value Theorem B (Random) Differentiation a. LO 2.1A Definition of the Derivative b. LO 2.1A and 2.2A Definition of the Derivative Graphically c. LO 2.1B Estimating the Derivative at a Point Numerically d. LO 2.1A Finding points of Differentiability e. LO 2.2B Differentiability vs. Continuity C (Random) Derivative Rules a. LO 2.1C Constant Rule and Power Rule b. LO 2.1C Constant Multiple Rule c. LO 2.1C Sum and Difference Rules d. LO 2.1C Derivatives Involving Sine/Cosine e. LO 2.3C Average Velocity f. LO 2.3A Instantaneous Velocity g. LO 2.3A and 2.3D Rate of Change Problems h. LO 2.1C Product Rule i. LO 2.1C Quotient Rule j. LO 2.1C Derivatives of Trigonometric Functions k. LO 2.1D Higher Order Derivatives l. LO 2.3C Finding Average Acceleration m. LO 2.3C Finding Instantaneous Acceleration n. LO 2.1C The Chain Rule o. LO 2.1C Repeated Applications of the Chain Rule p. LO 2.2A and 2.3B Finding the Tangent Line q. LO 2.3B Linear Approximations With Differentials r. LO 2.1C Implicit Differentiation s. LO 2.3B Finding Tangent Lines with Implicit Differentiation t. LO 2.3C Related Rates Problems u. LO 2.1C Derivatives of Inverses D (Random) Applications of Differentiation a. LO 2.2A Finding Critical Points b. LO 1.2B The Extreme Value Theorem c. LO 1.2B Rolle's Theorem d. LO 1.2B and 2.4A Mean Value Theorem e. LO 2.2A Finding Intervals where f is Increasing/Decreasing f. LO 2.2A Applying the First Derivative Test g. LO 2.2A The Path of a Projectile h. LO 2.2A Determining Concavity i. LO 2.2A Finding Points of Inflection j. LO 2.2A Using the Second Derivative Test E (Random) Curve Applications (Applied Optimization Problems) a. LO 2.3C Finding Maximum/Minimum Volume/Area b. LO 2.3C Finding Maximum/Minimum Distance/Length c. LO 2.3C Finding Maximum/Minimum Cost d. LO 2.2B Using Newton's Method	F (Random) Integrals a. LO 3.1A and 3.3B Vocabulary and Symbolic Notation b. LO 3.1A Power Rule c. LO 3.2C and 3.3B Sum and Difference Rules d. LO 3.2C and 3.3B Basic Trigonometric Integrals e. LO 2.3E Solving Basic Differential Equations f. LO 3.2A Calculating Riemann Sums g. LO 3.3B Evaluating Definite Intervals (Fundamental Theorem of Calculus) h. LO 3.3A Using the Second Fundamental Theorem of Calculus i. LO 3.4A and 3.4E Finding Net or Total Change (Total Change Theorem) j. LO 3.3B Integrating using Change of Variables (Substitution Rule) G (Random) Approximating and Finding Area a. LO 3.2A Using Riemann sums to approximate Area b. LO 3.2B Using the Trapezoidal Rule to approximate Area c. LO 3.2B Doing Error Analysis with the Trapezoidal Rule d. LO 3.2B Using Simpson's Rule to approximate Area e. LO 3.2B Doing Error Analysis with Simpson's Rule f. LO 3.2B and 3.2C Using Definite Intervals to find Area g. LO 3.4B Finding Average Values of Functions over an Interval h. LO 2.3C and 3.4C Relating Distance, Velocity and Acceleration H (Random) Logarithms and Exponential Functions a. LO 1.2A Differentiating Logarithmic Functions b. LO 2.1C Using Logarithmic Differentiation and Implicit Differentiation c. LO 2.3B Finding Equation of Tangent Lines of Logarithms d. LO 3.1A The Logarithm Defined as an Integral e. LO 3.2C Integrating Using Logarithms f. LO 3.2C Finding Area using Logs g. LO 2.1C Differentiating Exponential Functions h. LO 2.3B Finding Equation of Tangent Lines of Exponentials i. LO 3.1A Integrating Exponential Functions j. LO 3.2C Finding Area under Exponential Functions k. LO 3.5A Solving Word Problems about Continuous Interest l. LO 3.5B Solving Word Problems with Exponential Growth m. LO 3.5B Solving Word Problems about Exponential Decay I (Random) Trigonometric Functions and Inverse Functions a. LO 3.1A Integrating Trigonometric Functions b. LO 2.1C Evaluating the Derivative of an Inverse Trigonometric Function c. LO 2.2B Domain/Range of Trigonometric and Inverse Trigonometric Functions d. LO 3.1A Integration with Inverse Trigonometric Functions J (Random) Integration a. LO 3.3B Integration by Parts b. LO 3.3B Integration by Partial Fractions K (Random) Differential Equations a. LO 2.3F Sketching Slope Fields b. LO 2.3F Using Slope Fields to sketch a Particular Solution c. LO 2.3E and 3.5A Solving Separable Differential Equations d. LO 3.5A Solving Separable Differential Equations of Exponential Growth e. LO 3.5A Solving Separable Differential Equations of Exponential Decay L (Random) Area and Volume a. LO 3.4D Finding the Area of a Region Between Two Curves b. LO 3.4D Finding the Area of a Region cut Horizontally Between Two Curves c. LO 3.4D Finding Volume when Revolving around the x-Axis d. LO 3.4D Finding Volume when Revolving around the y-Axis e. LO 3.4D Finding the Volume Given a Cross Section
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