Evaluating partial derivatives of two-variables functions by using maple

Using Differentiation Term by Term Theorem to Study the Partial Differential Problems

“…where α > 0, n is a positive integer, and λ p are real numbers for all p = 1, … , n. We can obtain the infinite series forms of any order partial derivatives of these two types of multivariable functions using differentiation term by term theorem; these are the major results of this study (i.e., Theorem 1 and Theorem 2), and hence greatly reduce the difficulty of calculating their higher order partial derivative values. As for the study of related partial differential problems can refer to [1][2][3][4][5][6][7][8][9][10][11][12][13]. On the other hand, we provide two examples to do calculation practically.…”

Partial Derivatives 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 ; these are the major results of this study (i.e., Theorems 1 and 2), and hence greatly reduce the difficulty of calculating their higher order partial derivative values. For the study of related partial differential problems can refer to [1][2][3][4][5][6][7][8][9][10][11][12]. In addition, we provide two examples to do calculation practically.…”

Studying the Partial Differential Problem Using Maple

“…We can obtain the infinite series forms of any order partial derivatives of these four types of n -variables functions by using differentiation term by term theorem ; these are the major results of this study (i.e., Theorems 1-4), and hence greatly reduce the difficulty of calculating their higher order partial derivative values. For the study of related partial differential problems can refer to [8][9][10][11][12][13][14][15][16][17][18][19]. In addition, we provide some examples to do 7 calculation practically.…”