![]() Several geometers, among them, Monsieur Rolle, unable to admit the supposition that there are infinitely small magnitudes, rejected it completely, and claimed that this principle was faulty and capable of inducing error. ![]() This metaphysics, of which so much has been written, is even more important, and perhaps as difficult to develop as these same rules of the calculus. The metaphysics of the differential calculus is the most important to treat here. We may consult these works ( ouvrages ), now in the hands of the entire world. partie du traité du calcul intégral of Monsieur de Bougainville the younger. Volume des oeuvres of Jean Bernoulli, and in I. This section lacks a differential calculus of logarithmic and exponential quantities, which are seen in I. The three rules above are demonstrated in a very simple manner in an infinity of works ( ouvrages ), and most of all in the first analysis section of Infiniment petits of Monsieur de l'Hopital, to which we presently refer. Would be = x, we have z = x q and dz = qx ( q –1) dx and The difference is therefore (rule 2) y –1 Xdx + xXd ( y –1 ) = ( rule 3. There is no quantity that cannot be differentiated by these three rules.
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