In general, can Mathematica automatically (i.e. without writing code specifically for this) exploit GPU hardware and/or parallelize built-in operations across multiple cores?
For example, for drawing a single very CPU-intensive plot or solving a very CPU-intensive equation, would upgrading the graphics hardware result in speed-up? Would upgrading to a CPU with more cores speed things up? (I realize that more cores mean I could solve more equations in parallel but I'm curious about the single-equation case)
Just trying to get a handle on how Mathematica exploits hardware.