AP Calculus BC Exams and Practice Tests with Answers

AP Calculus BC AP TEST Study Guide Formal definition of Continuity Intermediate Value Theorem If f is continuous on [a,b] and k is a number between f(a) and f(b), then there exists at least one number c such that f(c)=k Definition of Derivative differentiability if a function has a def...

AP Calculus BC Concepts Exam Review. Derivative of y=lnx - Answer>> x'/x or 1/x Derivative of y=e^x - Answer>> x'e^x or e^x Derivative of y=4^x - Answer>> (a^x)lna Derivative of log7(x) - Answer>> x'/xlnb Derivative of y=ln[(x+4)^12 * (3x-1)^5] - Answer&...

AP Calculus BC All of the theorems and rules you will need to know for the Calculus BC test. If h(x) ≤ ƒ(x) ≤ g(x) for all x in an open interval containing c, except possibly at c itself, and lim x→c h(x) = lim x→c g(x) = L, then lim x→c ƒ(x) exists and equals L. - Answer>>Squee...

AP Calculus BC Study Guide: Final notes for the AP Calculus BC test sin² θ + cos² θ = - Answer>>1 1 + tan² θ = - Answer>>sec² θ 1 + cot² θ = - Answer>>csc² θ sin(-θ) = - Answer>>-sin θ cos(-θ) = - Answer>>cos θ tan(-θ) = - Answer>&g...

AP Calculus BC Product rule Derivatives Volume of Disc Volume of Washer Volume of Shell Volume of Cross Section Second Fundamental Theorem

AP Calculus BC Series test with Answers nth term test - Answer>> When n probably doesn't equal zero Divergent if the limit as n goes to infinity does NOT equal zero Does not determine convergence Geometric series test - Answer>> Something is multiplied over and over The series ...

AP Calculus BC Derivatives cosx - Answer>>(d/dx) sinx -sinx - Answer>>(d/dx) cosx sec^2x - Answer>>(d/dx) tanx -csc^2x - Answer>>(d/dx) cotx secxtanx - Answer>>(d/dx) secx -cscxcotx - Answer>>(d/dx) cscx 1 / sqrt(1-x^2) - Answer>>(d/dx) ...

AP Calculus BC Must Know Formulas cos^2x+sin^2x - Answer>> 1 1+tan^2x - Answer>> sec^2(x) 1+cot^2x - Answer>> csc^2x sin2x - Answer>> 2sinxcosx cos^2x - Answer>> (1+cos2x)/2 cos2x - Answer>> cos^2x-sin^2x cos(2x) - Answer>> ...

AP Calculus BC Exam Review: Formulas, theorems, etc that are likely to pop out or to be used in the exam limits and continuity - Answer>> a function y = f(x) is continuous at x = a if: f(a) is defined, the limit of f(x) as x approaches a exists, and the limit of f(x) as x approaches a is...

Unit 5 AP Calculus BC Vocabulary Test with Answers If a function is continuous on [a, b], then the function must obtain an absolute min and absolute max on [a, b]. - Answer>> Extreme Value Theorem

AP Calculus BC Series Tests + Power Series N-th term test limₙ→∞ ∑aₙ ≠ 0 is absolute divergence *CANNOT show convergence Integral Test ∫∞,n f(x) converges/diverges Harmonic series ∑ 1/n, diverges P-series ∑1/pⁿ ⁿ>1 is convergence ⁿ≤1 is divergence Direct c...

AP Calculus BC: Chapter. 1-2 Pre-calculus Review and Limits 2024 parent function of f(x)=√(x) - Answer>> ... parent function of f(x)=x³ - Answer>> ... odd function if... - Answer>> if f(-x)=f(x) y=f(Cx); C makes the graph do... - Answer>> compresses graph v...

AP Calculus BC: Chapter. 1-2 Pre-calculus Review and Limits 2024 parent function of f(x)=√(x) - Answer>> ... parent function of f(x)=x³ - Answer>> ... odd function if... - Answer>> if f(-x)=f(x) y=f(Cx); C makes the graph do... - Answer>> compresses graph v...

AP Calculus BC: Chapter. 1-2 Pre-calculus Review and Limits 2024 parent function of f(x)=√(x) - Answer>> ... parent function of f(x)=x³ - Answer>> ... odd function if... - Answer>> if f(-x)=f(x) y=f(Cx); C makes the graph do... - Answer>> compresses graph v...