MathCastle
Multivariable CalculusEasyChange of Variables & the Jacobian

Change of Variables & the Jacobian · Easy problem

For the change of variables x=uvx = uv, y=vuy = \dfrac{v}{u} (with u,v>0u, v > 0), compute the Jacobian determinant ∂(x,y)∂(u,v)\dfrac{\partial(x,y)}{\partial(u,v)} at (u,v)=(1,3)(u,v) = (1,3).