What is an example of a delegated power?

Delegated powers are powers that belong only to the federal government. Some examples are: coin money, declare war, regulate trade between states, regulate immigration.

Another example of "Delegated Power" is: Police have the power of search and arrest, however in some states that power is delegated to others for the purpose of entry, and arrest, for animal abuse crimes. While this is specifically prohibited, as they don't have an oath of office, as well as court cases, it is done all the time.