USING MAPLE TO EVALUATE THE DERIVATIVES OF SOME FUNCTIONS

This paper takes the mathematical software Maple as 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 differentiation term byterm and Leibniz differential rule, and hence greatly reduce the difficulty of evaluating their higher order derivative values. Theresearch methods adopted in this study involved finding solutions through manual calculations and verifying these solutions byusing Maple. This type of research method not only allows the discovery of calculation errors, but also helps modify the originaldirections of thinking from manual and Maple calculations. For this reason, Maple provides insights and guidance regardingproblem-solving methods.