Divergence in cylindrical coordinate system

[Sesse]

I am trying to understand the derivation of the divergence formula in cylindrical coordinates. www.csupomona.edu/~ajm/materials/delcyl.pdf paper does a good job of explaining it but I don't understand 2 things that the author does.
\frac{\partial\hat{\rho}}{\partial\phi} = \hat{\phi} and \frac{\partial\hat{\phi}}{\partial\phi} = \hat{\rho}
Derivation is on page 3.
Can anyone help me understand this?

 

[quasar987]

go back to page 1: "derivation of unit vectors with the coordinates"

 

[raj2check]

I am trying to understand the derivation of the divergence formula in cylindrical coordinates. www.csupomona.edu/~ajm/materials/delcyl.pdf[/URL] paper does a good job of explaining it but I don't understand 2 things that the author does.
$$\frac{\partial\hat{\rho}}{\partial\phi} = \hat{\phi}$$ and $$\frac{\partial\hat{\phi}}{\partial\phi} = \hat{\rho}$$
Derivation is on page 3.
Can anyone help me understand this?[/QUOTE]

As note below, one finds z^ etc (unit vector), in variation vectors does the differentiation with respect to $$\rho$$,$$\phi$$, z

OK
Now my question is how do you find

$$\overline{}$$$$\rho$$ (line above, could not get that to work)= x $$\widehat{}$$x+ y $$\widehat {}$$y

 

[raj2check]

that one is found in page 1 of the link