Aim of research is to substantiate the use of mathematical modeling in the training of future polygraphists. Objectives are to analyze approaches to the definition of the concept of “mathematical modeling”, to develop a mathematical model to study the topic “Derivative”. Subject of research: the methodology of knowledge formation of students-polygraphists in the study of the topic “Derivative”. Used research methods: theoretical: analysis, generalization, systematization of scientific and scientific-methodical sources on the research problem; research and analysis of modern ICT studies in higher mathematics for the allocation of theoretical foundations of research, Internet resources, software; empirical: diagnostic (purposeful pedagogical observations, interviews with teachers and students, questioning, testing, analysis of the experience of teachers in the main provisions of the study) to state the state of the research problem; experimental (pedagogical experiment) for the purpose of approbation of the developed methodology; statistical: for quantitative and qualitative analysis of the results of training on the developed methodology. Results of the research: different approaches to the definition of “mathematical modeling” are analyzed, the “Derivative” mathematical model is developed. Main conclusions and recommendations: analysis of the proposed admission to the study of students-polygraphists showed the possibility of interaction between mathematical and professionally directed disciplines.