What is a Derivative? – The Math Doctors
www.themathdoctors.org › what-is-a-derivativeAug 10, 2020 · The noun for what we are finding is “the derivative “, which basically means “a related function we have derived from the given function”. But the verb we use for that process is not “to derive”, but “to differentiate “, which comes from the “ difference quotient ” on which the derivative is based. The process is called “ differentiation “.
Derivation (differential algebra) - Wikipedia
https://en.wikipedia.org/wiki/Derivation_(differential_algebra)In mathematics, a derivation is a function on an algebra which generalizes certain features of the derivative operator. Specifically, given an algebra A over a ring or a field K, a K-derivation is a K-linear map D : A → A that satisfies Leibniz's law: More generally, if M is an A-bimodule, a K-linear map D : A → M that satisfies the Leibniz law is also called a derivation. The collection of all K-derivations of A to itself is denoted by DerK(A). T…