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Partial Derivatives of Some Types of Two-Variables Functions
Pure and Applied Mathematics Journal
Volume 2, Issue 2, April 2013, Pages: 56-61
Received: Mar. 22, 2013; Published: Apr. 2, 2013
Author
Chii-Huei Yu, Department of Management and Information, Nan Jeon Institute of Technology, Tainan City, Taiwan
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Abstract
This paper mainly studies the evaluation of partial derivatives of four types of two-variables functions. We can obtain the infinite series forms of any order partial derivatives of these four types of functions by using differentiation term by term theorem, and hence reducing the difficulty of calculating their higher order partial derivative values greatly. On the other hand, we propose four functions of two-variables to evaluate their any order partial derivatives, and some of their higher order partial derivative values practically. At the same time, we employ Maple to calculate the approximations of these higher order partial derivative values and their infinite series forms for verifying our answers.
Keywords
Partial Derivatives, Differentiation Term By Term Theorem, Infinite Series Forms, Maple
Chii-Huei Yu, Partial Derivatives of Some Types of Two-Variables Functions, Pure and Applied Mathematics Journal. Vol. 2, No. 2, 2013, pp. 56-61. doi: 10.11648/j.pamj.20130202.12
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