one of those weird things about math is that i “know basic calculus” in that i know the fundamental differential rules, but i feel like i don’t really “know calculus” in that i could not even begin to explain why they work
@aescling if you use the limit definition of the derivative and approximate to lowest order in dx you can straightforwardly make a physicist's derivation of all the rules like the product rule and the division rule and many differention rules like the power rule or derivatives of sines and cosines
