Derivatives, Tangent Lines, and Change (Explaining Calculus #5)

We’ve spent a few posts now developing the ideas of limits and continuity, two of the foundational ideas of calculus. We are now going to introduce the third foundational idea, the derivative. The derivative can be thought of as a way to capture the way that things change over time into one single formula. InContinue reading “Derivatives, Tangent Lines, and Change (Explaining Calculus #5)”

Working With Limits (Explaining Calculus #3)

In a previous post, I spent time talking about what limits are on a conceptual level, and some details about how they work on a practical level. Now, I want to run through a few examples to show how computing limits actually works, and in particular a very special kind of situation – which youContinue reading “Working With Limits (Explaining Calculus #3)”