Partial Derivatives of Three Variables Functions

Abstract

This paper takes the mathematical software Maple as the auxiliary tool to study the partial differential problem of two types of three variables functions. We can obtain the infinite series forms of any order partial derivatives of these two types of functions by using differentiation term by term theorem, and hence greatly reduce the difficulty of calculating higher order partial derivative values of these functions. On the other hand, we propose two examples to do calculation practically.

Solving the Partial Differential Problems Using Maple

“…The study of partial differential problems can refer to . The methods adopted in [1][2][3][4][5] are different from the methods used in this paper, and [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] studied the evaluation of the partial derivatives of different types of multivariable functions using differentiation term by term theorem and complex power series method. [25] considered two differential equations whose independent variables involve the partial derivatives.…”