The strong derivative is not, without some caution, a useful tool in the study of McShaneʼs (i.e., Lebesgueʼs) integral. Even so, the underlying structure of that process of derivation is closely connected to the formulation of the Riemann sums definition that McShane gave for his integral. This article discusses some of the features and traps for the study of those connections.
"Strong Derivatives and Integrals." Real Anal. Exchange 39 (2) 469 - 488, 2013/2014.