Cylindrical and spherical coordinates

[atomqwerty]

Homework Statement

Write the vector
$$D_{p}=2\partial/ \partial x-5\partial/ \partial y+3\partial/ \partial z \in T_{p}\Re^{3}$$

in cylindrical and spherical coordinates

Homework Equations

NA

The Attempt at a Solution

x=r cost
y=r sint
z=z

...

 

[hunt_mat]

Use the chain rule, for example:
$$\frac{\partial}{\partial x}=\frac{\partial r}{\partial x}\frac{\partial }{\partial r}+\frac{\partial t}{\partial x}\frac{\partial }{\partial t}+\frac{\partial z}{\partial x}\frac{\partial }{\partial z}$$

 

[atomqwerty]

Thanks, I appreciate that!