Science and Education Publishing Automatic Control and Information Sciences 2 1 2014 01 20 Evaluating the Partial Derivatives of Four Types of Two-Variables Functions 1 6 EN Chii-Huei Yu Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan ACIS2014211 10.12691/acis-2-1-1 2013 11 25 2014 01 13 2014 01 20 This article uses the mathematical software Maple for the auxiliary tool to study the partial differential problems of four types of two-variables functions. We can obtain the infinite series forms of any order partial derivatives of these two-variables functions by using differentiation term by term theorem, and hence greatly reduce the difficulty of calculating their higher order partial derivative values. In addition, we provide some examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying our answers by using Maple.