There are a few prepositions which might really be called derivative
prepositions.
1. A few prepositions are formed from verbs. These are really participle
prepositions, for they are the present participles of the verbs but have
come to be used like prepositions. These are such as _concerning_,
_excepting_, _regarding_, _respecting_, _during_, _according_, etc.
Nearly all of these participle prepositions can be expressed by a
preposition phrase, as for example, we can either say; I wrote
_regarding_ these facts, or I wrote you _in regard to_ these facts. I
mentioned them all _excepting_ the last, or, I mentioned them all _with
the exception of_ the last. I have gone _according_ to the directions,
or, I have gone _in accord with_ the directions.
2. Derivative prepositions are also formed by prefixing _a_ to other
parts of speech, as _along_, _around_, _abroad_, etc. Strictly speaking
these might be called compound prepositions for the prefix _a_ is really
from the preposition _on_.