* Verb: The most common use is as a verb, meaning "to persuade gently or gradually." For example: "She coaxed the shy child to come out and play."
* Noun: It can also be a noun, referring to the act of persuading gently. For example: "Her coaxing finally convinced him to try the new dish."
* Adjective: Less common, but "coaxing" can sometimes be used as an adjective to describe something that is persuasive or gentle. For example: "She gave him a coaxing smile."
So, to figure out the part of speech of "coaxing," you need to look at how it's used in the sentence.