You need to be able to specify how many derivatives you're taking and what variable(s) you're taking the derivative with respect to. That's two arguments you've partially applied if you have something you can just apply to a function application operator.
So I want to clarify that I don't think you're wrong, I just think that that's like saying + is a ternary operator because of course x +^{n} y, which is x plus y n times, and therefore equal to x + (n × y), has three symbols that are related by the terms.
When I called this out you started talking now about something a bit different, partial derivatives, which accept two integer indices and not just one. But behold, the symmetrical version of +^n is +^{m, n}, such that
x +^{m,n} y = m x + n y.
It’s not that any of this is wrong, ya dig? Just that we're counting to three to feel satisfied when there isn't much satisfaction to be gained.
