AP Calculus AB Exam Review 2025: Practice Exam Problems & Solutions (Multiple Choice, No Calculator)

https://www.youtube.com/watch?v=X2H4d_jhhfM. I solve 30 AP Calculus AB Practice Exam Problems and Solutions (Section 1, Part A: multiple choice, no calculator allowed). AP Calculus AB Exam Review (Exam Prep). AP Calculus Princeton Review: https://amzn.to/2RgiKNz. Practice Problems from Venture Publishing at: https://www.vent-pub.com/pab100/. 🔴 AP Calculus AB Review: Free Response Practice Exam Problems & Solutions (No Calculator Allowed): https://www.youtube.com/watch?v=RLgUwP44V_M 🔴 Calculus 1, Lesson 1.1: Linear Functions (3Blue1Brown SoME2): https://www.youtube.com/watch?v=47ZqW19AjD4 🔴 Calculus 1 Lectures Playlist: https://www.youtube.com/watch?v=2V_ehJC5QUY&list=PLmU0FIlJY-MkFrKtM0S0NLu-TxZa5jBIx 🔴 Calculus 2 Lectures Playlist: https://www.youtube.com/watch?v=g-K-MWMO2RE&list=PLmU0FIlJY-MlAmkJWOjt024wW3ee-d5Ya 🔴 Differential Equations Crash Course: https://www.youtube.com/watch?v=thX3bgmRbkc 🔴 Numerical Integration Crash Course: https://www.youtube.com/watch?v=x9lJTKXTXWg 🔴 Derivative Gateway Exam Practice: https://www.youtube.com/watch?v=-dGqMTI9z5w 🔴 Integral Gateway Exam Practice: https://www.youtube.com/watch?v=H1II3ItZTNA 🔴 My Math Blog: https://infinityisreallybig.com/ 🔴 Follow me on Twitter: https://twitter.com/billkinneymath (0:00) Introduction. (1:12) 1: Find a tangent line equation. (5:46) 2: Evaluate a definite integral with a substitution and the First Fundamental Theorem of Calculus. (9:42) 3: Differentiate an integral with the Second Fundamental Theorem of Calculus. (13:23) 4: Use the Chain Rule twice to find a derivative involving a trigonometric (sine) function. (15:31) 5: Find a particular antiderivative defined by a definite integral using a substitution and the First Fundamental Theorem of Calculus. (19:37) 6: Find when a particle is moving to the right when you are given its position function (the Product Rule is necessary to find the derivative most efficiently). (24:30) 7: Find the equation of the tangent line to a cubic function at its inflection point. (28:32) 8: Use substitution to evaluate a definite integral involving tangent and secant squared. Also use the First Fundamental Theorem of Calculus. (32:15) 9: Find the average value of a piecewise linear function. (35:40) 10: Related rates problem (relate area and side length of an expanding square). (39:07) 11: Minimize the velocity of a particle. (43:01) 12: Differentiate an integral with the Second Fundamental Theorem of Calculus and the Chain Rule as well. (46:13) 13: Find the absolute (global) minimum value of a continuous function over a closed interval. (49:10) 14: Given a slope field, determine the differential equation with that slope field. (53:34) 15: Find the derivative of a function involving the arctangent (inverse tangent) function using the Chain Rule. (55:14) 16: Find the inflection point(s) of a fifth degree polynomial. (58:22) 17: Determine what option is true about the function ln(abs(x^2 - 9)) by thinking about its graph. (1:02:42) 18: Find the y-intercept of a tangent line to a transformed square root function. (1:04:52) 19: Find the derivative of an (abstract) even function at an opposite point in terms of the derivative at the original point. (1:08:02) 20: Find a constant that makes a piecewise function continuous everywhere (L'Hopital's Rule or an algebraic trick can be used). (1:14:34) 21: Determine where a function is increasing. The Product Rule is needed, plus some algebra skills. (1:17:50) 22: Use the value of the Trapezoidal Rule that approximates a definite integral to find an unknown function value. (1:23:15) 23: Find a total distance traveled (back and forth) when given a position function that both increases and decreases. (1:28:47) 24: Find the number of critical points of a function (involving an artangent). (1:30:00) 25: Related rates problem (a sphere is filling with water at a constant rate of volume per unit time). (1:34:56) 26: Given continuous function data, determine which is true (the Intermediate Value Theorem guarantees the truth of the answer). (1:37:34) 27: Determine the values of the y-intercept of a cubic function that guarantee the function has 3 x-intercepts. (1:41:47) 28: Determine how a certain area under the graph of y = 1/x (from x = n to x = 4n) changes as n increases. Properties of logarithms are needed. (1:44:15) 29: Use L'Hopital's Rule (twice) to find the limit of the ratio of two functions as x goes to plus infinity (it's an infinity ver infinity indeterminate form). (1:47:44) 30: Find the derivative of an inverse function at a point using facts about the original function (its value and its derivative at a point). It can be derived with the Chain Rule if you forgot the formula. #apcalculus #apcalculusab #calculusreview AMAZON ASSOCIATE As an Amazon Associate I earn from qualifying purchases.