Аннотация:Are Dark Matter the result of uncalculated addition derivatives? The need to introduce dark matter darkbecomes unnecessary if we consider that, the phenomenon of dark matter is a result of not computing theadditional derivatives of the equation of motion. For this purpose, we use higher derivatives in the form ofnon-local variables, known as the Ostrogradsky formalism. As a mathematician, Ostrogradsky consideredthe dependence of the Lagrange function on acceleration and its higher derivatives with respect to time.This is the case that fully correspond with the real frame of reference, and that can be both inertial andnon-inertial frames. The problem of dark matter and dark energy presented starting from basic observations to explain the different results in theory and experiment. The study of galactic motion, especially therotation curves, showed that a large amount of dark matter can be found mainly in galactic halos. Thesearch for dark matter and dark energy has not confirmed with the experimental discovery of it, so we useOstrogradsky formalities to explain the effects described above, so that the need to introduce dark matterand dark energy disappears.