damage and chaos damage, add?

I am using bladefall (physical damage) with poison support linked to it (Chaos damage). I am looking at a jewel that has '10% increased damage', and '9% increased Chaos damage'.

Do I get 10% increased all damage (phys and chaos, and then additional 9% on the chaos damage for 19% increase on the chaos? or just 10 on phys and 9 on chaos?

Is there a way to tell in the game as I add the jewel to the skill tree or looking at tool tips, etc. I do not know of anything that shows the different damages separately.

Thanks for any help.

Generic %damage affects all damage you do, so 10% increased physical and 19% increased chaos is what you'll get from the jewel.

Considering tooltip, it doesn't show poison damage at all, only the damage of the initial first wave of bladefall. Tooltip is mostly useful for comparing two similar pieces of equipment and not for much else.