In this article, I present an experiment that can be conducted in a calculus class to investigate the difference quotient and the derivative, using mathematical modeling with student-collected data. Single, Richard M. 1999. Different quotients, derivatives, and data through modeling with slime. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 9(3): 279-288.See https://www.tandfonline.com/doi/abs/10.1080/10511979908965934 . Accessed 27 March 2023.Articles in this jour…