> The arithmetic derivative can also be extended to any unique factorization domain (UFD),[6] such as the Gaussian integers and the Eisenstein integers, and its

> The arithmetic derivative can also be extended to any unique factorization domain (UFD),[6] such as the Gaussian integers and the Eisenstein integers, and its associated field of fractions. If the UFD is a polynomial ring, then the arithmetic derivative is the same as the derivation over said polynomial ring I was just skimming the wikipedia article but this seems like a good argument.