
This article deals with the relationship between a function and its derivatives for periodic functions. The aim is to provide elements that redefinition for the said relationship from its analysis in a context of variation and from a social practice perspective. We have studied some ways the periodic is used in the relationship between a function and its successive derivatives, in the contexts of movement and engineering where reference frameworks are noticeably wider than those considered in school discourse. It is by conducting intentional practices such as graphing, modeling or predicting that periodic behavior in function variations acquires meaning for scientific work.
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