Find the Derivative of a Fraction

Derivatives. If you’re currently taking Calc 1 (which you probably are if you found yourself here), you are probably up to your elbows in derivative problems. One type is taking the derivative of a fraction, or better put, a quotient. That’s what this post is… Continue reading

Related Rates: Worked Examples

This post features several related rates problems. I recently taught this section in my Calculus class and had so much fun working the problems I decided to do a blog post on it. I’m not going to waste time explaining the theory behind it, that’s… Continue reading

Differentials Explained

Have you ever been confused about differentials? I remembering reading about these after I took Calculus and having no idea what they were. I thought maybe my teacher had skipped that section, but more likely than not, I had just forgotten. I think they can… Continue reading

Limits in Calculus – An Introduction, Part 2

This post is a continuation of Limits in Calculus – An Introduction, Part 1. The previous installment of this series dealt with a conceptual introduction to the limit.  Here, we will look at the formal definition and explore some examples. Definition Let $$f(x)$$ be a… Continue reading

Limits in Calculus – An Introduction, Part 1

This series of posts deals with the limit encountered in first semester calculus, i.e. limits of single-variable, real-valued functions. What is the deal with limits in calculus?  Many calculus students struggle with the concept of a limit, especially when they are asked to prove that… Continue reading