Did the tutorial you saw say that the Tesla card would help? If so, what tutorial was it?
When you say AE is running slow, do you mean the interface? RAM Preview? Rendering?
You have CS6, but what is the exact version number?
Thank you for your interest and quick reply.
This video suggests graphics cards, among other things: http://tv.adobe.com/watch/learn-after-effects-cs6/optimizing-for-high-performance/
I think I "fixed" things. I pointed the cash and database (Preferences > Media & Disc Cache) to the same folder location, then restarted my computer.
I'm seeing improvement compared to not having the Tesla card.
All is well.
I'm glad you're seeing improvement and thank you for posting your answer so that others can know if they're in the same boat and come across this post.