I'm looking for a word meaning "to actively demonstrate knowledge or skill". I think that "To flaunt" can have negative interpretation, where as a more neutral act such as "to showcase" may not actively perform. Is there a better word?
You could use the word vaunt.
Definition: (verb) to speak vaingloriously of; boast of: to vaunt one's achievements. "John actively vaunts his intelligence."
To be Erudite actively demonstrates knowledge - it is a word more associated with intellect and being scholarly.
are you looking for the word exemplify?
What about exhibit? E.g., "Jack and Jill exhibit their expertise every day".
Best I can think of is "evince". It's not specific to knowledge or skill. Definition
To show or demonstrate clearly; manifest: evince distaste by grimacing