This paper presents the educational material that resulted from our master's research on applications of derivatives, through investigative activities using the software GeoGebra. Initially, we present a discussion on the teaching of Calculus, particularly the teaching of derivatives and their applications. We discuss the use of technologies in education, combined with research activities, given the changes that may occur when Information and Communication Technologies in Education - ICTE's are introduced into the classroom. After this brief discussion, we present a description of the educational material developed and, finally, some considerations regarding its implementation and the results obtained, highlighting some contributions using TICE's investigative activities for the teaching and learning of Calculus I.
Teaching Calculus and Derivatives; Mathematics Research; Information and Communication Technologies in Education