Differentiate the following w.r$d/dx$

$\sin x\ log x$.

$\cfrac { d }{ dx } \sin { x } \log { x }$

$=\left\{ \cfrac { d }{ dx } \sin { (x) } \right\} \log { x } +\sin { x } .\cfrac { d }{ dx } \left( \log { \left( x \right) } \right)$

$=\log { x } .\cos { x } +\sin { x } .\cfrac { 1 }{ x }$

$=\cfrac { \sin { x } }{ x } +\log { x } .\cos { x }$