Hi, everyone

I've just joined this forum.

Hope you can help me solve my problem which has bothered me for a long long time.

maybe I've missed sth crucial.

It's about Jacobian of changing variable

1. is it $\displaystyle \displaystyle\frac{\partial(x,y)}{\partial(u,v)}=\ frac{1}{\frac{\partial(u,v)}{\partial(x,y)}}$?

2. if (1) is true, can you show me how to calculate $\displaystyle \frac{\partial(u,v)}{\partial(x,y)}$.

Because I have calculated many times but I find that $\displaystyle \displaystyle\frac{\partial(x,y)}{\partial(u,v)}=\ frac{1}{\frac{\partial(u,v)}{\partial(x,y)}}$ They are not the same

HELP