Jacobian Properties, Jacobian Chain Rule, Introduction to Jacobian Prope...

JACOBIAN PROPERTIES -- CHAIN RULE JACOBIAN

If u, v are the function of r, s and r, s be the functions of x, y then
(∂(u,v))/(∂(x,y))= (∂(u,v))/(∂(r,s))  ×  (∂(r,s))/(∂(x,y))

This is also called Chain Rule Property of Jacobian.