Exploring Fun Topics

Before you read this: make sure to read part 1 of this series first to clear up some basics. Now let's get started! As we found out last time, we used algebra to find the derivative of X^2. But what about X^3? Or X^4? Or, in general, what about X^N? Let's find out! Higher Power Derivatives Last time, we expanded the polynomial (A+E)^2 and found the coefficient of Epsilon, removing the higher order term of E^2 to get 2A as our derivative. But wait, the only difference betwee

Teaching a month's worth of pre-calculus using only algebra Calculus has a reputation as one of the hardest math topics in the world, a topic so difficult and complex that is has the 2nd-highest fail rate of 40% out of all math courses. This post will take this difficult course and transform it's introduction into a simple and speedy 5 minute read! Calculus's introduction covers two of the most fundamental algebra notations: the derivative and the integral. Let's take a loo