Applications of Partial Derivatives in Economics: Marginal Productivity

Abstract

According to the relationship between mathematics and the economic sciences, the application of mathematical models that allow the solution of diverse economic situations is reached, for this reason the present research is based on the resolution of partial derivative problems. More and more economists and administrators consider that the use of mathematics, as a symbolic language and method of scientific reasoning, is an invaluable aid in the tasks of these sciences. The objective of this article is to provide a guide of problems with their respective solutions, by means of partial derivatives applied in the area of Administration and Economics. A descriptive analysis and a mixed approach with a qualitative predominance were used, combining content analysis, inductive and hypothetical-deductive methods and the authors' teaching experience. As results, the solution of five problems is obtained, from different sources, this contributes to the development of significant learning, since aspects of innovation are taken, besides, it allows to strengthen critical thinking.