In this article, we formalize in the Mizar system [3] the notion of the derivative of polynomials over the field of real numbers [4]. To define it, we use the derivative of functions between reals and reals [9].
@article{bwmeta1.element.doi-10_1515_forma-2017-0002, author = {Artur Korni\l owicz}, title = {Differentiability of Polynomials over Reals}, journal = {Formalized Mathematics}, volume = {25}, year = {2017}, pages = {31-37}, zbl = {06726493}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_forma-2017-0002} }
Artur Korniłowicz. Differentiability of Polynomials over Reals. Formalized Mathematics, Tome 25 (2017) pp. 31-37. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_forma-2017-0002/