Power Rule
An explanation on Power Rule, written with an assumption that you already learned it at least once
Power Rule
Admittedly one the the simpler concepts learned for derivatives, that sets the base for most operations in the future, in this article it’ll largely be a refresher in the case you’ve forgotten
What is Power Rule?
Power Rule, in it’s applied state, is just knowing that the derivative of bx^n = nbx^(n-1) add image here of showing this but in nicer forma
Or rather to speak of it’s actual significance, it’s the base derivative format you’ll use in almost every situation you deal with derivatives in the future, set up by extremely tedious limit work that one suffers on
That’s Right, Definition of the Derivative
Does this phrasing bring you bad memories? Me too! Well, you can’t escape from it, as it’ll show up in both AP Calculus AB and BC, so here’s the a few formats you might see
I’d highly recommend memorizing all of these, as you might not have to solve it, but, hint hint, it’ll help you through a few multiple choice problems in the future if you know how these work, here’s a link to a tutorial on how to solve through them. You might think I’m lazy, but I’m actually just pragmatic, they’ll explain it better than I ever could with a few images.
Conclusion
That’s pretty much the most important parts of power rule and it’s annoying subset, but don’t tell your teachers I paired them together, as definition of the derivative isn’t just for power rule (See: trig and log derivatives). Hope it’s a nice refresher!