Excerpt from An Elementary Treatise on the Differential Calculus: With Applications and Numerous ExamplesI have consulted a large number of university and college examination papers set in Oxford, Cambridge, London, and elsewhere, and many of the examples given have been extracted from them. Such papers clearly define the extent of knowledge expected from students by the large body of distinguished scholars who from time to time are engaged in conducting these examinations, and the present work has been constructed to meet these requirements as far as possible.My thanks are due to several friends and correspondents who have kindly sent me valuable suggestions and lists of errata occurring in the first edition.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.