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Excerpt from The Elements of the Differential Calculus: Comprehending the General Theory of Curve Surfaces, and of Curves of Double Curvature; Intended for the Use of Mathematical Students in Schools and Universities The Fourth Chapter is on Taylor's theorem, which makes known the actual development of the function f (a: it) according to the form established in the second chapter. From this theorem are de rived commodious expressions for the total differential coefficient when the function is complicated, and whether its form be explicit or implicit; the whole being illustrated by a variety of examples. The Fifth Chapter contains the complete theory of vanishing frac tions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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