I have been trying to find an analytical expression for the following:

$\frac{\partial {X^{+}}}{\partial {X}}$

[A similar question](http://mathoverflow.net/questions/25778/analytical-formula-for-numerical-derivative-of-the-matrix-pseudo-inverse/29511#29511) concerned finding the derivative w.r.t. some dependent parameter, but I can't figure out how to put it in the form I want.