Use Logarithmic Differentiation to Differentiate $\left[ \frac { \sqrt { \mathrm { xe } ^ { x } } } { \mathrm { x } ^ { 2 } + 1 } \right]$

Short Answer

Use logarithmic differentiation to differentiate.
-ln $\left[ \frac { \sqrt { \mathrm { xe } ^ { x } } } { \mathrm { x } ^ { 2 } + 1 } \right]$ at x = 1
Enter just a reduced fraction of form $\frac { a } { b }$ .