MathCastle
Multivariable CalculusEasyChange of Variables & the Jacobian

Change of Variables & the Jacobian · Easy problem

For the change of variables x=u2−v2x = u^2 - v^2, y=2uvy = 2uv, compute the Jacobian determinant ∂(x,y)∂(u,v)\dfrac{\partial(x,y)}{\partial(u,v)} at (u,v)=(1,2)(u,v) = (1,2).