Source: College Board — AP Calculus BC, Free-response questions, 2026
AP Calc BC · Limits and derivatives
Unit 5: Analytical Applications of Differentiation
25 questions from past AP exams, newest first.
Source: College Board — AP Calculus BC, Free-response questions, 2025
Source: College Board — AP Calculus BC, Free-response questions, 2025
Source: College Board — AP Calculus BC, Free-response questions, 2024
Source: College Board — AP Calculus BC, Free-response questions, 2023
Stuck on Unit 5: Analytical Applications of Differentiation?
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![Question 4 — __________________________________________________________ 4. The function f is defined on the closed interval [−2, 8] and satisfies f (2) = 1. The graph of f ¢, the derivative of f , consists of two line segments and a…](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/ap-calculus-bc/2023-frq/item-4.c98a329aa0.webp)
Source: College Board — AP Calculus BC, Free-response questions, 2023
Source: College Board — AP Calculus BC, Free-response questions, 2022
Source: College Board — AP Calculus BC, Free-response questions, 2021
Source: College Board — AP Calculus BC, Free-response questions, 2019
Source: College Board — AP Calculus BC, Free-response questions, 2018
Stuck on Unit 5: Analytical Applications of Differentiation?
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Source: College Board — AP Calculus BC, Free-response questions, 2017
Source: College Board — AP Calculus BC, Free-response questions, 2016
Source: College Board — AP Calculus BC, Free-response questions, 2015
Source: College Board — AP Calculus BC, Free-response questions, 2014
Source: College Board — AP Calculus BC, Free-response questions, 2013
Stuck on Unit 5: Analytical Applications of Differentiation?
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Source: College Board — AP Calculus BC, Free-response questions, 2012
Source: College Board — AP Calculus BC, Full practice exam, 2012
Source: College Board — AP Calculus BC, Full practice exam, 2012
Source: College Board — AP Calculus BC, Full practice exam, 2012
Source: College Board — AP Calculus BC, Full practice exam, 2012
Stuck on Unit 5: Analytical Applications of Differentiation?
Our tutors clear up your doubts one to one — online, or in person with a local tutor.
Source: College Board — AP Calculus BC, Full practice exam, 2012
Source: College Board — AP Calculus BC, Full practice exam, 2012
![Question Section II · 3 — 3. Let f be the continuous function defined on [ ] 4, 3 - whose graph, consisting of three line segments and a semicircle centered at the origin, is given above. Let g be the function given by ( ) ( ) 1 . x g x f t dt =…](https://kwpdfdwqxkalccmcbeph.supabase.co/storage/v1/object/public/exam-items/ap-calculus-bc/2012-practice/item-II-3.96c89ce83c.webp)
Source: College Board — AP Calculus BC, Full practice exam, 2012
Source: College Board — AP Calculus BC, Free-response questions, 2011
Source: College Board — AP Calculus BC, Free-response, form B, 2010
Stuck on Unit 5: Analytical Applications of Differentiation?
Our tutors clear up your doubts one to one — online, or in person with a local tutor.