| Sumario: | [EN] The lack of elementary treatises about calculus drove L'Hópital to publish the Analyse des infiniment petits in 1696, the first systematical treatise on this subject. lt is based on the lessons offered to L'Hópital by Johann Bernoulli between 1691 and 1692, published in 1922 as the Lectiones de calculo differentialium. Despite the controversy around the sources of the Analyse, both texts are not exactly the same. Both texts have been analysed and compared according to how each author presented the basic definitions and axioms of the calculus and calculated the tangent of a curve, its maxima, minima and inflexions. The main differences which have been assessed between both texts are related to (1) didactics, (2) layout of problems, (3) choice of coordinates, (4) treatment of algebraical and transcendental curves and (5) notation.
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