Question

in the sentence below, the highlighted coordinating conjunction (\fanboys\) is
derrick henry lent me his sweater, and i was very grateful.
connecting subjects
connecting objects
connecting verbs

Explanation:

The sentence "Derrick Henry lent me his sweater, and I was very grateful" has two independent clauses. The coordinating conjunction "and" connects these two clauses. In this case, it is not connecting subjects (as the subjects are "Derrick Henry" and "I"), not connecting objects (there are no objects being connected in the sense of the options given here in a direct object - connecting way), and not connecting verbs (the verbs are "lent" and "was"). Instead, it is connecting the two independent clauses which can be seen as two separate ideas. But among the given options, if we consider the structure in a more simplistic way of what the conjunction is "connecting" in terms of the basic parts of speech groupings in the options, since it's not subjects (two different subjects), not objects (no objects in the sense of the options' context here), and not verbs (different verbs), but if we assume a mis - categorization in the question's options and look at the fact that each clause has its own subject - verb structure, and if we force - fit into the given options, there is no correct fit. However, if we consider the overall structure of two clauses (which can be thought of as two "ideas" that could be related to verbs in a very loose sense of action - result, but this is a stretch).

Answer:

Connecting Verbs (Note: This is a forced - fit answer as the actual connection is of two independent clauses, but among the given options, this is the least incorrect if we consider the action - result relationship in a very broad sense related to verbs)