Comment by mjfl
4 years ago
For the derivative, shouldn't there be some notion of continuum, of a limiting process to define a slope at a particular point? Otherwise this is just a delta is it not?
4 years ago
For the derivative, shouldn't there be some notion of continuum, of a limiting process to define a slope at a particular point? Otherwise this is just a delta is it not?
There is a general notion of derivations I believe theyre using. Ie anything that obeys the Leibniz rule (fg)' = f'g+fh'.
Its an informative exercise to see how many of the standard rules of calculus can be derived using just this rule.
https://en.wikipedia.org/wiki/Derivation_(differential_algeb... is probably what you were referring to.