Examine the Function $z = e ^ { - x } \sin 2 y \text { for relative extrema and saddle points. }$

Multiple Choice

Examine the function $z = e ^ { - x } \sin 2 y \text { for relative extrema and saddle points. }$

A) saddle point: $( 0,0,0 )$
B) relative minimum: $( 0,0,1 )$
C) relative maximum: $( 0,0,0 )$
D) relative minimum: $( 0,0,0 )$
E) no critical points