If $U ( x , s ) = \mathcal { C } \{ u ( x , t ) \} \text {, then } \mathcal { L } \left\{ \frac { \partial u } { \partial x } \right\}$

Multiple Choice

If $U ( x , s ) = \mathcal { C } \{ u ( x , t ) \} \text {, then } \mathcal { L } \left\{ \frac { \partial u } { \partial x } \right\}$ is

A) $s U ( x , s ) - u ( x , 0 )$
B) $s U ( x , s ) - u _ { x } ( x , 0 )$
C) $s U ( x , s ) - s u ( x , 0 )$
D) $U _ { x } ( x , s )$
E) $$U _ { s } ( x , s )$$