Compute the Jacobian J(u,v) for the following transformation.
T: x = 6u, y = -3v
Choose the correct Jacobian determinant of T below.
A. J(u,v) = $\frac{\partial}{\partial u}(-3v)\frac{\partial}{\partial v}(6u) - \frac{\partial}{\partial v}(-3v)\frac{\partial}{\partial u}(6u)$
B. J(u,v) = $\frac{\partial}{\partial u}(-3v)\frac{\partial}{\partial v}(-3v) - \frac{\partial}{\partial v}(-3v)\frac{\partial}{\partial u}(6u)$
C. J(u,v) = $\frac{\partial}{\partial u}(6u)\frac{\partial}{\partial v}(6u) - \frac{\partial}{\partial v}(-3v)\frac{\partial}{\partial u}(-3v)$
D. J(u,v) = $\frac{\partial}{\partial u}(6u)\frac{\partial}{\partial v}(-3v) - \frac{\partial}{\partial v}(6u)\frac{\partial}{\partial u}(-3v)$
Compute the Jacobian.
J(u,v) =