In this paper, we investigate the commutativity of a semiprime ring R admitting a generalized derivation F with associated derivation D satisfying any one of the properties: (i) $F(x){circ}D(y)=[x,y]$, (ii) $D(x){circ}F(y)=F[x,y]$, (iii) $D(x){circ}F(y)=xy$, (iv) $F(x{circ}y)=[F(x) y]+[D(y),x]$, and (v) $F[x,y]=F(x){circ}y-D(y){circ}x$ for all x, y in some appropriate subsets of R.