Jacobian Calculator
Understanding the Jacobian Matrix
The Jacobian matrix contains all first-order partial derivatives of a vector-valued function. It represents the best linear approximation to a differentiable function near a given point.
Key Applications
- Coordinate Transformations
- Change of Variables
- Optimization Problems
- Differential Geometry
- Robotics and Motion Planning
Mathematical Disclaimer
This calculator provides symbolic differentiation for basic functions. For complex expressions, verify results manually or consult with a mathematical professional.