Find the Directional Derivative of the Function $g ( x , y , z ) = x y e ^ { z } \text { at } P ( 3,8,0 ) \text { in the }$

Multiple Choice

Find the directional derivative of the function $g ( x , y , z ) = x y e ^ { z } \text { at } P ( 3,8,0 ) \text { in the }$ direction of $Q ( 0,0,0 )$ . Round your answer to two decimal places.

A) $- 11.64$
B) $- 1.87$
C) $- 5.86$
D) $- 0.70$
E) $- 5.62$