The trajectory of a particle is given by and its velocity by .

Calculate and in cylindrical and spherical coordinates.

So far I have converted , and into a combination of unit vectors in cylindrical coordinates. I also done the opposite.

I just don't know how to convert dx into a differential depending on , and z. I realize it will only depend on and .

I know that . I'm not really sure how to get dx. I don't think I can call "dx" a total derivative.