> I think it has to do with the lambda function causing this issue.

Correct.  Sage can only differentiate "symbolic" functions.  Making
Bessel J functions symbolic is http://trac.sagemath.org/sage_trac/ticket/4102.

You may want to look at http://ask.sagemath.org/question/314/bessel-functions
for some really good ideas about how to work around this (or even to
contribute code for it!).

Incidentally, what are g, ro, and gro?  And k?  Please try to include
whole code snippets, just in case there is something else going on to
cause an error.

Good luck,
- kcrisman

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