Manipulating the Jacobian to Find Partial Derivatives with Two Variables

[NoEyedClare]

The variables u and w are related to x and y by the equations:

u=(e^x)*cos(y) and w=(e^-x)sin(y)

If I have the Jacobian for δ(u,w)/δ(x,y)

How could I manipulate it to find (δx/δw)?

With u held constant.

 

[foxjwill]

Try taking the inverse of the Jacobian.