  Using high-precision photometry from the \textit{Kepler} mission, we
investigate patterns of spot activity on the K1-type subgiant component of KIC
11560447, a short-period late-type eclipsing binary. We tested the validity of
maximum entropy reconstructions of starspots by numerical simulations. Our
procedure successfully captures up to three large spot clusters migrating in
longitude. We suggest a way to measure a lower limit for stellar differential
rotation, using slopes of spot patterns in the reconstructed time-longitude
diagram. We find solar-like differential rotation and recurrent spot activity
with a long-term trend towards a dominant axisymmetric spot distribution during
the period of observations.
