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DIFFERENTIALS OF FUNCTIONS OF A SINGLE VARIABLE.

  • Dennis M. CatesEmail author
Chapter

Abstract

Let \(y=f(x)\) always be a function of the independent variable xi an infinitely small quantity and h a finite quantity. If we set \( i = \alpha h, \) \( \alpha \) will also be an infinitely small quantity, and we will have identically
$$\begin{aligned} \frac{f(x + i) - f(x)}{i} = \frac{f(x + \alpha h) - f(x)}{\alpha h}, \end{aligned}$$

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Sun CityUSA

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