Difficult Calculus Questions?

I'm studying for the upcoming AP Calculus exam and I want to tackle some really tough questions. Where can I find challenging calculus questions, or does anyone have any they could share here?

It's great that you want to challenge yourself with difficult calculus questions in preparation for the AP exam! You can find a variety of challenging questions from these sources:

1. Textbooks: Many textbooks contain problem sets that increase in difficulty and can provide tricky questions. If you're using a leveled AP Calculus textbook, check for advanced practice sections or bonus problems.

2. College Board: As the organization responsible for creating the AP exams, the College Board has released past exams and sample questions on their website. You can search for the Calculus AB or BC exam in their archives and find free-response questions.

3. Practice workbooks: There are numerous workbooks available for AP Calculus preparation, which include challenging questions. Barron's, The Princeton Review, and CollegeVine all offer workbooks that provide varying levels of difficulty.

4. Online Calculus forums: Discussion boards and forums like Reddit's r/calculus or StackExchange's Mathematics subcategory can provide both resources and user-submitted challenges. We also have a couple blog posts that may help: https://blog.collegevine.com/ap-calculus-ab-practice-questions and https://blog.collegevine.com/ap-calculus-bc-practice-questions

5. Teachers or tutors: If you are in a calculus class, try asking your teacher for extra challenging questions, or if you have a tutor, they might be able to provide some as well.

Remember, it's important to not only practice difficult problems but also to understand the concepts behind them. Make sure you review the solutions and work through any mistakes to solidify your understanding.

Good luck with your AP Calculus exam preparation!