Let $f: S \rightarrow$ Swhere $S=(0, \infty)$ be a twice differentiable function such that $\mathrm{f}(\mathrm{x}+1)= \mathrm{xf}(\mathrm{x})$. If $\mathrm{g}: \mathrm{S} \rightarrow \mathrm{R}$ be defined as $\mathrm{g}(\mathrm{x})=\log _{\mathrm{e}} \mathrm{f}(\mathrm{x})$, then the value of $\left|\mathrm{g}^{\prime \prime}(5)-\mathrm{g}^{\prime \prime}(1)\right|$ is equal to :
