Here are a few examples:
* "According to": This originally meant "in agreement with," but now it's used as a preposition indicating a source of information.
* Example: "According to the weather forecast, it will rain tomorrow."
* "Inside of": This was originally a combination of the adjective "inside" and the preposition "of," but now it's often used as a single preposition.
* Example: "The cat is hiding inside of the box."
* "Despite": This was originally an adverb meaning "in spite of," but now it functions as a preposition.
* Example: "Despite the rain, we had a great time."
These are just a few examples of derived prepositions. They are often used in everyday language, and they can be a bit tricky to identify at first. But once you understand the concept, you'll be able to recognize them more easily!