Find the Jacobian $\frac { \partial ( x , y ) } { \partial ( u , v ) } \text { for the following change of variables: }$

Multiple Choice

Find the Jacobian $\frac { \partial ( x , y ) } { \partial ( u , v ) } \text { for the following change of variables: }$ $x = \frac { u } { v } , y = 5 u + v$

A) $\frac { 5 u + v } { v }$
B) $\frac { 5 u + v } { v ^ { 2 } }$
C) $- \frac { 5 u - v } { v }$
D) $- \frac { 5 u + v } { v ^ { 2 } }$
E) $\frac { 5 u - v } { v ^ { 2 } }$