A curious formula
Una fórmula curiosa
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Abstract
The objective of this article is to show a formula that allows to calculate derivatives of high order, let's say 4, 5 or more, of a product of functions without having to know the intermediate derivatives. The result is curious, since it keeps a lot of analogy with the formula known as the Binomial Theorem
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References
Apostol Tom (1976). Calculus. Volumen I, Editorial Reverté.
Courant, R y Robbins, H (1976). ¿Qué es la matemática? Editorial Aguilar.
Rainville Earl, D (1979). Ecuaciones diferenciales elementales. Editorial Trillas.