As a continuity of \cite{r7}, we give a generalized Tsallis relative operator entropy $T_{t,r}(A|B)=\displaystyle\frac{A\ \sharp_{t,r}\ B-A}{t}$, 
where $A\ \sharp_{t,r}\ B = A^{\frac{1}{2}}\{(1-t)I + t(A^{-\frac{1}{2}}BA^{-\frac{1}{2}})^r\}^{\frac{1}{r}},\ t \in [0,\ 1],\ r \in [-1,\ 1]$, 
a path defined by the operator power mean. The relative operator entropy $S(A|B)$ is generalized in \cite{r7} as $S_r(A|B)$. In this note, 
we give a more expanded form $S_{t,r}(A|B)$, the derivative of the path $A\ \sharp_{t,r}\ B$ at $t \in [0,\ 1]$.