  We develop analytic techniques to construct the leading dissipative terms in
a derivative expansion of holographic fluids. Our basic ingredient is the
Crnkovic-Witten symplectic current of classical gravity which we use to extract
the dissipative transport coefficients of holographic fluids, assuming
knowledge of the thermodynamics and the near horizon geometries of the bulk
black hole geometries. We apply our techniques to non-conformal neutral fluids
to reproduce previous results on the shear viscosity and generalise a known
expression for the bulk viscosity.
