  Building on the experience of [1], we develop a formalism to construct
operators for higher derivatives of the pressure in hot QCD with respect to the
quark chemical potential $\mu$. We provide formulae for the operators up to the
sixth derivative, and obtain continuum-extrapolated results from lattice EQCD
at zero and finite $\mu$ and at six different pairs of temperature T and number
of massless quark flavors $n_f$. Our data is benchmarked against full-QCD
lattice and perturbative results, allowing to judge the quality of the
perturbative series expansion in EQCD and the dimensional reduction procedure
as a whole.
