You seem to forget including the choices in this question. Nevertheless, to help you, I could just tell what a superlative is so you could identify it on your own.
Superlatives are adjectives that are expressed in their greatest extent. For example, when you describe something so beautiful than any other thing you've ever seen, you describe it as 'most beautiful'. Another example is, if you've never been so happy in your life, you are the 'happiest'. So, generally, superlatives are written as a suffix -est or you add the word 'most' before the adjective.
A persuasuasive is persuading someone to do something an argumentive is arguing with someone about something relevant
