Note: Our 2017 answer keys are now online!
A few days after each AP Calculus BC exam, the College Board releases the free response questions from the exam. They don’t release their very succinct answer keys for a few more weeks… so… I had my students make their own answer keys as well as screen recordings of their solutions!
All released free response questions and answer keys are online right here.
Here’s the direct link to the 2016 AP Calculus BC free response questions.
Here are the answer keys and videos that my students created:
- 2016 #1: Answer key, Video 1
- 2016 #2: Answer key, Video 1, Video 2
- 2016 #3: Answer key, Video 1, Video 2
- 2016 #4: Answer key, Video 1
- 2016 #5: Answer key, Video 1
- 2016 #6: Answer key, Video 1, Video 2
Many more Williston student screencasts can be found online right here.
9/6/16 Update: The official CollegeBoard scoring guidelines are now online.
Question 3 (b) has a wrong answer, because in order for the inflection point to exist,
g”(x) = f'(x) has to not only change sign at x = 4, but also exist ( f'(x) MUST be differentiable at x = 4).
Actually, a function does not need to be differentiable at a point of inflection. Check it out:
https://socratic.org/questions/do-points-of-inflection-have-to-be-differentiable
Also, while the point breakdown isn’t perfect, these students did get 3b correct. Here’s the scoring guidelines document from the College Board:
https://secure-media.collegeboard.org/digitalServices/pdf/ap/ap16_calculus_bc_sg.pdf