Applicability of ChatGPT for generating and calculating partial derivatives of multivariable functions

In this article, we present an experiment conducted with first-year students majoring in Commerce and Marketing at the Faculty of Economics at the University of Debrecen, along with its results. The aim of the experiment was to make the teaching of Mathematics more engaging for the students and to familiarize them with the limitations of using ChatGPT 3.5. We tasked ChatGPT with generating a solved problem for each student, focused on calculating the first and second-order partial derivatives of multivariable functions. Subsequently, the students were asked to solve the assigned problems themselves and verify the solutions provided by ChatGPT. This approach was intended to help students recognize the limitations of the tool and develop a critical perspective on its use