# Category Archives for "Analysis"

## Infinite Limits and the Behaviors of Polynomials at the Infinities — A Theoretical Musing

Regardless of your early surrounding or schooling background, we know for one that there are two kinds of mathematical objects that are kind of hard to miss in life. The names? Polynomial and Infinity! While the former might have sounded a bit like the name of a snake, polynomials is a one-of-its-kind mathematical entity whose perfection defies our mathematical imagination. For […]

## Chain Rule for Derivative — Venturing Into The Dark Side Beneath Applied Calculus…

To the surprise of many math enthusiasts and the like, it seems that we have been pulling out on an incredible amount of calculus modules these days. Of course, if you have had any terrible experience in learning just the mechanics of calculus, this seemingly-relentless outpouring of materials could make you want to puke. However, if that header […]

## The Ultimate Guide to Logarithm: Basic Theory Commonly Missed in High School Which Turns a Log Noob into a Log Whiz

For the very vast majority of humans on earth, there is a topic found in the good old math textbooks that many of us still even dread contemplating about, as it seems to mess with our brain in a rather particular way.  The name? $\displaystyle \text{Logarithmus}$ — or Logarithm in English to be sure! As terrible-sounding as it […]

## Derivative of Inverse Functions (a.k.a, How to Create Your Own Table of Derivatives)

Quick question. Are you currently (or have been) a student of differential calculus (a.k.a., Calculus I)? If so, maybe you can guess what is on that (potentially-cryptic) graph above? What. Inverse functions of course! Just look at that beautiful shape and how well they correspond with each other! (OK. Bonus point: can you guess which […]