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#AP CALCULUS QUESTIONS FULL#
#AP CALCULUS QUESTIONS SERIES#

Analytical Applications of Differentiation-Understanding the Mean Value Theorem, using the Extreme Value Theorem, finding global and local extrema, applying the First Derivative Test and Second Derivative Test, finding intervals of increase and decrease, understanding concavity, sketching graphs, solving optimization problems, and using implicit relations.

Contextual Applications of Differentiation-Interpreting derivatives in context, using rates of change in motion and other context, applying related rates, approximating using linearization, and applying L’Hospital’s Rule.

Differentiation: Composite, Implicit, and Inverse Functions-Applying the Chain Rule, using implicit differentiation, differentiating inverse functions, and calculating higher order derivatives.

Differentiation: Definition and Basic Rules-Defining average and instantaneous rates of change, defining the derivative of a function, estimating derivatives at a point, connecting differentiability and continuity, applying the Power Rule, the Product Rule, and the Quotient Rule, and determining derivatives of constants, sums, differences, and constant multiples, trigonometric functions, e x, and ln x.

Limits and Continuity-Defining limits, estimating limits from graphs and tables, determining limits using algebraic properties and manipulation, applying the Squeeze Theorem, Determining types of discontinuities, understanding asympototes, and the applying Intermediate Value Theorem.

You should be familiar with the following topics: The College Board is very detailed in what they require your AP teacher to cover in his or her AP Calculus AB course. If you score high enough on the exam, your AP Calculus score could earn you college credit!Ĭheck out our AP Calculus AB Guide for the essential information you need for the exam:

#AP CALCULUS QUESTIONS FULL#

For full details, please click here.Īre you familiar with the Mean Value Theorem? Can you calculate derivatives? The AP ® Calculus AB exam tests topics and skills discussed in your AP Calculus AB course.

Updated April 12, 2022, with the 2022 revisions.COVID-19 Update: To help students through this crisis, The Princeton Review will continue our "Enroll with Confidence" refund policies. Here is a suggestion Practice Exams – A Modest Proposal Keep this in mind when assigning questions from past exams.

Even though the AP program forbids this and makes every effort to prevent them from being posted, they are there. When assigning past exam questions for review or during the year (and you should assign past exam questions), keep in mind that students can find the scoring standards online.

#AP CALCULUS QUESTIONS SERIES#

Type 10 questions – Sequences and Series (BC topic).

Type 9 questions – Polar equations (BC topic).

Type 8 questions – Parametric and vector questions (BC topic).Type 6 questions – Differential equations.Type 5 questions – Riemann Sum & Table Problems.Type 4 questions – Area and volume problems.Type 3 questions – Graph analysis problems.Type 2 questions – Linear motion problems.Type 1 questions – Rate and accumulation questions.To dx or not dx – Don’t worry about the fine points of scoring be more stringent than the readers.

AP Exam Review – General suggestions, hints, information, and other resources for reviewing.Here are the links to the various review posts: (Note: the ten types are different from the ten units in the Course and Exam Description, because the exam questions overlap the units – most exam questions test knowledge from more than one unit.) On the exams, the ten types are tested with both free-response and multiple-choice questions. The first post outlines the general approach the last ten are for the individual types of questions. Here are suggestions from previous blog posts on reviewing for the AP Calculus Exams.