A study on some differential problems with maple

This article takes Maple as the auxiliary tool to study the differential problem of four types of functions. We can obtain the closed forms of any order derivatives of these functions by using Leibniz differential rule. Our research way is to count the answers by hand, and then use Maple to verify our results. This research way can not only let us find the calculation errors but also help us to revise the original thinking direction because we can verify the correctness of our theory from the consistency of hand count and Maple calculations.