A transformation is given by x=u2−v2x = u^2 - v^2x=u2−v2 and y=2uvy = 2uvy=2uv. Find the Jacobian J=∂(x,y)∂(u,v)J = \frac{\partial(x, y)}{\partial(u, v)}J=∂(u,v)∂(x,y).
4(u2+v2)4(u^2 + v^2)4(u2+v2)
2(u2+v2)2(u^2 + v^2)2(u2+v2)
u2−v2u^2 - v^2u2−v2
4uv4uv4uv