AP Calculus BC Review

AP Calculus BC Review Questions and Answers
2025/2026



sin(0)= - CORRECT ANSWER-


sin(π/4) - CORRECT ANSWER-


cos(π/6) - CORRECT ANSWER-


cos(0) - CORRECT ANSWER-


log(AB) - CORRECT ANSWER-


log(A / B) - CORRECT ANSWER-


log(A) ^ x - CORRECT ANSWER-


e^(ln(x)) - CORRECT ANSWER-


Definition of the Derivative
(Using the limit as h→0) - CORRECT ANSWER-

,Definition of the Derivative
(Using the limit as x→a) - CORRECT ANSWER-


First derivative test for a local maximum of f at x = a - CORRECT ANSWER-


First derivative test for a local minimum of f at x = a - CORRECT ANSWER-


Second derivative test for a local maximum of f at x = a - CORRECT ANSWER-


Second derivative test for a local minimum of f at x = a - CORRECT ANSWER-


Test for max and mins of f on [a, b] - CORRECT ANSWER-


Inflection Points - CORRECT ANSWER-


ƒ'(x) < 0 - CORRECT ANSWER-


ƒ''(x) < 0 or ƒ'(x) is decreasing - CORRECT ANSWER-


ƒ'(x) > 0 - CORRECT ANSWER-


ƒ''(x) > 0 or ƒ'(x) is increasing - CORRECT ANSWER-

, Intermediate Value Theorem (IVT) - CORRECT ANSWER-


Mean Value Theorem (MVT) - CORRECT ANSWER-


ƒ(x) is continuous at x = a if... - CORRECT ANSWER-


Critical Points - CORRECT ANSWER-


Three types of discontinuities. - CORRECT ANSWER-


ƒ(x) is differentiable at x = a if... - CORRECT ANSWER-


Three conditions where ƒ(x) is not differentiable - CORRECT ANSWER-


Average rate of change of ƒ(x) over [a, b] - CORRECT ANSWER-


Instantaneous rate of change of ƒ(a) - CORRECT ANSWER-


d/dx ( arctan ( x ) ) - CORRECT ANSWER-


d/dx ( arcsin ( x ) ) - CORRECT ANSWER-


d/dx ( e ^ x ) - CORRECT ANSWER-