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Material expression question "Worlposition"

Hi,

I was snooping around in some of the FMOD content and wonder about the following:

There are nodes set up but not connected. Any idea what the artist may have wanted to achieve with this?
Im not really sure what DDX and DDY actually do. The documentation is a bit vague here:

4bef0967779d1b2fb4c15402956628b2f1001580.jpeg

Also, can anyone explain the difference between the “blue” Worldposition node (above) and this red one:

material2.JPG

Obvioulsy, the blue allows for convientient scaling. But if the “red” on e is input data, what is the other blue then? static data?
Im a bit confused here… :confused:

Cheers,
Klaus