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AP Calculus AB / BC Big Idea Review - Limits

Introduction A limit is the value that a function takes as it approaches a certain point. For continuous functions, this is the value of the function itself. However, for discontinuous functions, limits can have interesting implications. In other words, if the function is continuous: $$\lim_{x \to a} f(x) = f(a)$$ When a...

3 Reasons Why Calculus Is so Hard

The derivative of its difficulty is also zero, so it will always be this hardCaptain Calculus So you are a pre-med or engineering student stuck in a Calculus class and just had your mind blown to its limits (no pun intended). Most students start scratching their heads when limits become derivatives. Then when derivatives...

AP Calculus AB Question Review 1

Continuing with our review in mathematics, we cover another AP subject that multiple students take classes for, AP Calculus AB. This course is one of the most frequently taken courses in any college or university (usually taught as Calculus 1 at the college level). Hence the large enrollment of exam takers. A typical question...

AP Calculus AB Question Review 2 - Fundamental Theorem of Calculus

The second installment of question reviews to the AP Calculus AB subject AP exams have begun, and this post finds us reviewing a second concept covered in AP Calculus AB. The first question review covered convavity and the shape of a graph. In this post, the Fundamental Theorem of Calculus is reviewed in further...

Derivatives + Optimization

In other words, how can you use derivatives to get what you want? One of the most interesting and practical applications of derivatives is their ability to look at a relationship or a function, and find a desired outcome, such as maximizing or minimizing a variable. For example, suppose you run a milk business,...