Towards Dynamic Optimization with Partially Updated Sensitivities * *NvD is fellow of the TEMPO Initial Training Network. The work is supported by the EU via ERC-HIGHWIND (259 166), ITN-TEMPO (607 957), and ITN-AWESCO (642 682). The support from Flanders Make, DFG via the project ”Numerische Methoden zur optimierungsbasierten Regelung zyklischer Prozesse, the KU Leuven-BOF PFV/10/002 Centre of Excellence: Optimization in Engineering (OPTEC), and project G0A6917N of the Research Foundation -Flanders (FWO-Flanders), is gratefully acknowledged.