Mixed multiple choice across all of Unit 5 — the Mean Value & Extreme Value Theorems, the first- and
second-derivative tests, connecting a function to its derivatives, and optimization — plus a free-response trainer built
on real AP question shapes. Every answer is worked and verified, and every wrong option is a mistake worth knowing.
How to use this. The multiple choice pulls a fresh batch of 12 from a bank of 50, mixing every topic and both
exam sections — each question is tagged calculator or no calculator, the way the real test splits them.
Answer, read the worked explanation, and your weak spots surface at the bottom. Then train the free-response
format — one scenario, several chained parts, with the justifications AP readers demand.
Mixed multiple choice
Question 1 of 12Score: 0
Free-response trainer · Section II style
One scenario, several chained parts — exactly how the real FRQ works. Pick a problem below; type
what you can, then check the worked solution and score your reasoning against the rubric. Unit 5 lives and dies on
justification, so every rubric rewards the why, not just the number.
Given
Where you stand
Finish some multiple-choice questions and your topic breakdown shows up here.