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- W24063375 abstract "This chapter focuses on differentiation, which is the process of finding the derivative. Most functions of physical interest can be differentiated a number of times. The convention for the representation of a sequence of operations is to write the operators in the opposite order to that in which the operations are carried out so that the last symbol represents the first operation to be carried out. The chapter discusses the method of “logarithmic differentiation,” which might be used directly for the differentiation of products and complicated surds. The chapter also discusses “hyperbolic functions,” which are certain combinations of the exponential functions with properties and bear a close formal analogy with those of the trigonometric functions. Identities involving hyperbolic functions resemble closely corresponding identities for trigonometric functions. A hyperbolic identity might be obtained from a trigonometric identity. The chapter presents an example of the process of mathematical induction, which is employed to prove formulae involving an integer that takes positive integral values." @default.
- W24063375 created "2016-06-24" @default.
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- W24063375 date "1961-01-01" @default.
- W24063375 modified "2023-09-25" @default.
- W24063375 title "THE TECHNIQUE OF DIFFERENTIATION" @default.
- W24063375 doi "https://doi.org/10.1016/b978-0-08-006388-1.50005-6" @default.
- W24063375 hasPublicationYear "1961" @default.
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