![linear algebra - Why does $\frac{\partial x}{\partial r} = \frac{\partial r}{\partial x}$ in this Jacobian matrix converting from Cartesian to polar coordinates? - Mathematics Stack Exchange linear algebra - Why does $\frac{\partial x}{\partial r} = \frac{\partial r}{\partial x}$ in this Jacobian matrix converting from Cartesian to polar coordinates? - Mathematics Stack Exchange](https://i.sstatic.net/cJulj.png)
linear algebra - Why does $\frac{\partial x}{\partial r} = \frac{\partial r}{\partial x}$ in this Jacobian matrix converting from Cartesian to polar coordinates? - Mathematics Stack Exchange
![multivariable calculus - Computing the Jacobian for the change of variables from cartesian into spherical coordinates - Mathematics Stack Exchange multivariable calculus - Computing the Jacobian for the change of variables from cartesian into spherical coordinates - Mathematics Stack Exchange](https://i.sstatic.net/JblMk.png)
multivariable calculus - Computing the Jacobian for the change of variables from cartesian into spherical coordinates - Mathematics Stack Exchange
![multivariable calculus - Computing the Jacobian for the change of variables from cartesian into spherical coordinates - Mathematics Stack Exchange multivariable calculus - Computing the Jacobian for the change of variables from cartesian into spherical coordinates - Mathematics Stack Exchange](https://i.sstatic.net/kbT4I.png)
multivariable calculus - Computing the Jacobian for the change of variables from cartesian into spherical coordinates - Mathematics Stack Exchange
![multivariable calculus - Computing the Jacobian for the change of variables from cartesian into spherical coordinates - Mathematics Stack Exchange multivariable calculus - Computing the Jacobian for the change of variables from cartesian into spherical coordinates - Mathematics Stack Exchange](https://i.sstatic.net/dSHFv.png)