Evaluating [d^2/dx^2, x] on an f(x)

[Lane]

1. Evaluate the commutator [d^2/dx^2, x] by applying the operators to an arbitrary function f(x).

 

[Dick]

That's (x*f(x))''-x*f'''(x), isn't it? What's the result?

 

[Lane]

I just found the answer it is: 2 d/dx

 

[Dick]

I believe that's correct. Wasn't so hard, was it?