Chapter 3 - Derivative Formulas Through Geometry
In this video, we aim to intuitively derive the formulas for derivatives using a geometric perspective. It might be easy to forget, but at its core, a derivative is simply about observing the minute changes in one quantity in relation to a tiny change in another quantity. In this video and the next, our goal is to demonstrate how you can think about some of these rules in a visual and geometric way. I really want to emphasize that you should never forget that these minute changes are at the heart of derivatives. In this video, we'll derive the power rule and the derivative formula for sine by examining the geometry of the problem.