Find the Directional Derivative of the Function $f ( x , y , z ) = x e ^ { x y / z }$

Multiple Choice

Find the directional derivative of the function $f ( x , y , z ) = x e ^ { x y / z }$ at the point $P$ $( 3,0,1 )$ in the direction from $P$ toward the point $( 2,2,3 )$ ..

A) $\frac { 17 } { 3 }$
B) $6$
C) $\frac { 19 } { 3 }$
D) $\frac { 20 } { 3 }$
E) 7
F) $\frac { 22 } { 3 }$
G) $\frac { 23 } { 3 }$
H) 8