In geometry, knowing the differential properties of a curve at a point is very important, as it would help us understand its behavior around that point; even more so when said curve is generated by the intersection of hypersurfaces in. This paper describes a new Mathematica package, Frenet4D, that allows to visualize and calculate the Frenet frame of the curve given by the transversal intersection of three implicit hypersurfaces in thus like the visualization of the respective hypersurfaces. The output obtained is consistent with Mathematica’s notation and results. To show the performance of the package, several illustrative and interesting examples are described.