Trivialize vs Undervalue - What's the difference?

As verbs the difference between trivialize and undervalue

is that trivialize is to make something appear trivial while undervalue is to underestimate, or assign too low a value to.

* trivialise (British)

(trivializ)

To make something appear trivial.

To underestimate, or assign too low a value to.

To have too little regard for.

* Atterbury

In comparison of it I undervalued all ensigns of authority.

* Dryden

I write not this with the least intention to undervalue the other parts of poetry.

* (l)