  A general form for the equation of motion for higher-curvature gravity is
obtained. The interesting feature of the analysis is that it can handle
Lagrangians which contain non-minimal kinetic scalar couplings. Certain subtle
features, which are absent for the Einstein-Hilbert term, arise in
higher-curvature gravity. These are identified and an algorithmic prescription
is presented for the evaluation of the generalized equation of motion.
