AP Calculus BC Study Guide - EBSCO Information Services

AP Calculus BC: Study Guide AP is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product. Key Exam Details The AP Calculus BC exam is a 3-hour 15-minute, end-of-course test comprised of 45 multiple-choice questions (50% of the exam) and 6 free-response questions (50% of the exam). The exam covers the following course content categories: Limits and Continuity: 4 7% of test questions Differentiation: Definition and Fundamental Properties: 4 7% of test questions Differentiation: Composite, Implicit, and Inverse Functions 4 7% of test questions Contextual Applications of Differentiation: 6 9% of test questions Analytical Applications of Differentiation: 8 11% of test questions Integration and Accumulation of Change: 17 20% of test questions Differential Equations: 6 9% of test questions Applications of Integration: 6 9% of test questions Parametric Equations, Polar Coordinates, and Vector-Valued Functions: 11 12% of test questions Infini

Intermediate Value Theorem The Intermediate Value Theorem applies to continuous functions on an interval ab,. If d is any value between f(a) and f(b), then there must be at least one number c between a and b such that f(c) = d. Example Consider f x e() x = − 2, which is continuous everywhere. We have fe(0) = − =−0 21, and f(1) =

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  Value, Intermediate, Theorem, Intermediate value theorem

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