Author(s): Hoa Anh Tuong, Massoud Moslehpour, Nguyen Huu Hau, Lam Minh Huy, Wing-Keung Wong
The Theory of Derivative is very important and meaningful in many areas in Decision Science, including Mathematics, Statistics, Engineering, Education, Economics, and Finance. On the other hand, most countries in the world care about education, especially practical issues. In this connection, this paper reviews the Theory of Derivative in Decision Science and Education. We first review the derivative theory, including a review of the definition of the derivative, the rule of derivative calculation by definition, the rules of derivatives, the definition of the maximum and minimum values, and a discussion of the procedure to find the maximum and minimum values. We then review the literature and applications of the Theory of Derivative in Decision Sciences, including the literature and applications of the Theory of Derivative in Applied Mathematics, Statistics, Chemistry, Physics, Economics, and Finance. Thereafter, we review the literature and applications of the Theory of Derivative in Education and illustrate the Theory of Derivative by using some addressed detailed exam questions in Vietnam. Reviewing the Theory of Derivative helps teachers, students, academics, and practitioners to improve their ability in their applications of the Theory of Derivative, especially to solve real-life practical problems. It also helps teachers to improve their teaching and help students in understanding the Theory of Derivative.