This article aims to introduce the differential mean value theorem in mathematical analysis associated with the zeros of derivative problems, inequalities, issues of value, monotonicity, and many other aspects of the issue of the number of Example Code through the settlement process to gradually introduce the use of differential intermediate value theorem to solve the related issues and problem-solving thinking skills, problem-solving process and, through its analysis, we are able to understand the key to problem-solving ability through know the conditions to determine which is the mean value theorem problem and intends to structure a suitable auxiliary function, to verify compliance with the conditions of the theorem, and then use the conclusions of the theorem of calculus is derived