@FelisCatusDomesticus @lowqualityfacts In part one has to understand it though, and one doesn't understand just by asking Wolfram Alpha.
But rote memoization ruins maths. And school does way too much of it.
Also maybe even the order of things could be changed. Maybe even first teach the idea of the derivative, then start using it via computer, and introduce the rules of how it is calculated later (when one can also already just enter lots of examples into the computer to try it out, or even infer the patterns yourself)?
In school it is already not taught the "right", "provable" way. For that you would have to start with limits and stuff, which is way beyond school, but rather university level. So one may as well embrace this even more... and even do computer aided curve discussions before one even knows how to derive x^n?