🎬Jacobian determinant for a composite coordinate transformation is the product of the individual Jaco

The demo visually demonstrates that the Jacobian determinant of a composite transformation equals the product of the individual Jacobian determinants. This product rule ensures that when changing coordinates in steps, the total scaling of area or volume is the same as applying each transformation’s scaling in sequence—mirroring the chain rule for derivatives.

Verification of the Product Rule for Jacobian Determinants and Tensor Density Transformation | Proof and Derivationviadean on Notion