We're going to discover the remaining Monkey Rules by playing with Geogebra, and seeing if we can "backwards-engineer" them. If you take an algebra-based calculus course, you'd spend a lot of time "forward-engineering" these by doing numerous [url=https://www.geogebra.org/m/x39ys4d7#material/zruqdnrq]differential quotient[/url] calculations. We are [i]not[/i] going to do that.[br][br]To get started, I've plotted the first five [b]power functions[/b] from our [url=https://www.geogebra.org/m/x39ys4d7#material/wrafy53s]atomic functions list[/url] from Chapter 1. Use the following snippets of code one at a time to start making some educated guesses about the derivatives of these [b]power functions[/b].[br][br][code]derivative(f_0) derivative(f_1) derivative(f_2)[br]derivative(f_3) derivative(f_4)[/code]

After you've spent some time conjecturing on the pattern, move forward to see what it is.