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Evaluating the Derivatives of Two Types of Functions´╗┐

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Author(s): Chii-Huei Yu

Journal: International Journal of Computer Science and Mobile Computing
ISSN 2320-088X

Volume: 2;
Issue: 7;
Start page: 108;
Date: 2013;
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Keywords: derivatives | closed forms | Euler's formula | DeMoivre's formula | finite geometric series | Leibniz differential rule | Maple

ABSTRACT
This paper uses the mathematical software Maple for the auxiliary tool to study the differentialproblem of two types of functions. We can obtain the closed forms of any order derivatives of these two typesof functions by using Euler's formula, DeMoivre's formula, finite geometric series and Leibniz differentialrule, and hence greatly reduce the difficulty of calculating their higher order derivative values. In addition,we provide two examples to do calculation practically. The research methods adopted in this study involvedfinding solutions through manual calculations and verifying these solutions by using Maple. This type ofresearch method not only allows the discovery of calculation errors, but also helps modify the originaldirections of thinking from manual and Maple calculations. Therefore, Maple provides insights andguidance regarding problem-solving methods.
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