Find the Jacobian for the Change of Variables Given Below $x = - 4 u - 4 v ^ { 2 } , y = 4 u + 5 v$

Multiple Choice

Find the Jacobian for the change of variables given below.
$x = - 4 u - 4 v ^ { 2 } , y = 4 u + 5 v$

A) $- 20 + 32 v$
B) $- 20 v + 36$
C) $32 - 19 v$
D) $- 20 + 32 v ^ { 2 }$
E) $36 + 19 v$