Universal Journal of Engineering Science(CEASE PUBLICATION) Vol. 2(3), pp. 55 - 61
DOI: 10.13189/ujes.2014.020301
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Evaluating the Derivatives of Some Functions Using Maple

Chii-Huei Yu ^1,*, Bing-Huei Chen ^2
1 Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, 73746, Taiwan
² Department of Electrical Engineering, Nan Jeon University of Science and Technology, Tainan City, 73746, Taiwan

ABSTRACT

This article uses the mathematical software Maple for the auxiliary tool to study the differential problem of two types of functions. We can obtain the infinite series forms of any order derivatives of these two types of functions by using binomial series, Leibniz differential rule and differentiation term by term theorem, and hence greatly reduce the difficulty of calculating their higher order derivative values. On the other hand, we propose two examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying these solutions by using Maple. This type of research method not only allows the discovery of calculation errors, but also helps modify the original directions of thinking from manual and Maple calculations. For this reason, Maple provides insights and guidance regarding problem-solving methods.

KEYWORDS
Derivatives, Infinite Series Forms, Binomial Series, Leibniz Differential Rule, Differentiation Term By Term Theorem, Maple

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Chii-Huei Yu , Bing-Huei Chen , "Evaluating the Derivatives of Some Functions Using Maple," Universal Journal of Engineering Science(CEASE PUBLICATION), Vol. 2, No. 3, pp. 55 - 61, 2014. DOI: 10.13189/ujes.2014.020301.

(b). APA Format:
Chii-Huei Yu , Bing-Huei Chen (2014). Evaluating the Derivatives of Some Functions Using Maple. Universal Journal of Engineering Science(CEASE PUBLICATION), 2(3), 55 - 61. DOI: 10.13189/ujes.2014.020301.