Geometric interpretation of the Jacobian
- Author:
- Juan Carlos Ponce Campuzano
- Topic:
- Area
Consider the parabolic transformation and .
The Jacobian establishes a relationship between the area of the blue square (left) and the area of the red region (right).
Instructions:
- Drag the green point (on the left) to change the position of the blue square. Observe what happens to the red region.
- Drag the slider , which determines the side of the blue square. See what happens to , for small values of .
- Zoom in or out, if necessary.