The response of a system to an infinitesimal perturbation becomes sing
ular if the system changes its degree of metastability, i.e., if it ha
s an inflection point. This theory is used to calculate the reversible
transverse susceptibility chi(t) of a single domain particle executin
g a major hysteresis loop under the influence of a field H(t) applied
at an angle beta to the easy axis. Thermal relaxation is taken into ac
count and the response of the nonequilibrium system to the infinitesim
al field h(t) = h sin omegat, h perpendicular-to H, is found. The resu
ltant chi(t) is studied as a function of beta, temperature, and of the
frequency OMEGA of the biasing field H.