Calculus; (Yes This Was Difficult)

Hello, and welcome to my first action project for the first unit of my workshop, "Introduction to Calculus". In this class, we learned the basics of calculus by reviewing slope formulas from Algebra. The slope is a formula used to find the steepness between two points on a graph. We learned and practiced derivatives and instantaneous slope, which is the slope at a specific x coordinate. Derivatives or prime is another function that can be used to find the slope at any point. To help us with figuring this out we learned the power rule. The power rule is just simpler equations that show us how to distinguish between form expressions. For this action project, we were instructed to use a nonlinear function incorporating our two random numbers, evaluate our functions, find the derivatives, and use the derivative to estimate the instantaneous slope of our function on a graph and its tangent line. I hope you enjoy my calculus equations down below!

In conclusion to this project, I didn't have too much difficulty solving the equations once I understood the rules and formulas used in calculus. I enjoy calculus and math overall when I have a decent understanding of the formulas and rules involved. I wouldn't do anything different with this project since my equations led me back to my exact derivative. I hope that this class will continue to benefit me after high school when it comes to more advanced mathematics.