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DIFFERENTIALS AND DERIVATIVES OF VARIOUS ORDERS FOR FUNCTIONS OF A SINGLE VARIABLE. CHANGE OF THE INDEPENDENT VARIABLE

Dennis M. Cates ()

Chapter Chapter 12 in Cauchy's Calcul Infinitésimal, 2019, pp 59-64 from Springer

Abstract: Abstract As the functions of a single variable x ordinarily have for derivatives other functions of this variable, it is clear that from a given function, $$ y =f(x), \, $$ we can deduce in general a multitude of new functions, each of which will be the derivative of the previous one. These new functions are what we name the derivatives of various orders of y or $$f(x), \, $$ Derivative of various orders and we indicate them with the help of the notations.

Date: 2019
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DOI: 10.1007/978-3-030-11036-9_12

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