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* Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes* (literal translation:

In this book is the first appearance of L'Hôpital's rule. The rule is believed to be the work of Johann Bernoulli since l'Hôpital, a nobleman, paid Bernoulli a retainer of 300₣ per year to keep him updated on developments in calculus and to solve problems he had. Moreover, the two signed a contract allowing l'Hôpital to use Bernoulli's discoveries in any way he wished.^{[1]}^{[2]} Among these problems was that of limits of indeterminate forms. When l'Hôpital published his book, he gave due credit to Bernoulli and, not wishing to take credit for any of the mathematics in the book, he published the work anonymously. Bernoulli, who was known for being extremely jealous, claimed to be the author of the entire work. Nevertheless, the rule was named for l'Hôpital, who never claimed to have invented it in the first place.^{[3]}

**^**Maor, Eli (1994),*E: The Story of a Number*, Princeton University Press, p. 116.**^**Truesdell, C. (1958), "The New Bernoulli Edition",*Isis*,**49**(1): 54–62, JSTOR 226604. See pp. 59–62, discussing the strange agreement between Bernoulli and l'Hôpital.**^**Finney, Ross L.; Thomas, George B. (1994),*Calculus*(2nd ed.), Addison Wesley, p. 390.

*Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes*in various formats (djvu, pdf, etc.) at the Internet Archive.*Calculi infinitesimalis Pars I, seu calculus differentialis, expositus analysi infinite parvorum*: a 1764 edition (Trattner) of '*Analyse des infiniment petits*, at the université de Strasbourg.