What’s so improper about improper integrals? Well maybe that term is a bit too harsh. Just as an improper fraction takes a bit more work to change it into a more reasonable form, an improper integral is a kind of definite integral that simply takes a bit more care to work out. The term improper […]

The AP Calculus AB Exam is one of two standardized tests in calculus that could translate to actual college credits. The AB exam covers roughly one and a half semesters of college-level calculus, while the BC exam covers about two full semesters (Calculus I and II). This article provides a brief guide on what to […]

The AP Calculus AB Exam is a standardized test that covers roughly one and a half semesters of college-level calculus. A high enough score on the exam may translate to actual college credits, depending on the school to which you apply. In this short article, you’ll learn a little about what to expect on the […]

Of all the derivative rules it seems that the Chain Rule gets the worst press. Many students dread the rule, think that it’s too difficult, don’t fully understand where to apply it, and generally wish that it would go away. Are you in this group? If so then I hope that by the end of […]

The Quotient Rule is an important formula for finding the derivative of any function that looks like fraction. Check out this article for details!

The Mean Value Theorem may seem esoteric at first. In this article, I hope to show you that it’s not as abstract as it sounds.

The absolute extrema of a function are the largest and smallest values. Discover how to compute the absolute extrema of a function using calculus.

The product rule is just one of many essential derivative rules. Together with the Sum/Difference Rule, Power Rule, Quotient Rule, and Chain Rule, these rules form the backbone of our methods for finding derivatives. In this article I’ll explain what the Product Rule is and how to use it in typical problems on the AP […]

Functions and their graphs are the heart of calculus. Click here to review what you need to know about functions and their graphs on the AP Calculus exams.

The AP Calculus AB covers about a semester of college calculus. Check out this article to learn about the topics that you may expect to see on the exam.