  We consider Maxwell-f(R) gravity and obtain an exact charged black hole
solution with dynamic curvature in D-dimensions. Considering a spherically
symmetric metric ansatz and without specifying the form of f(R) we fnd a
general black hole solution in D-dimensions. This general black hole solution
can be reduced to the Reissner-Nordstr\"om (RN) black hole in D-dimensions in
Einstein gravity and to the known charged black hole solutions with constant
curvature in f(R) gravity. Restricting the parameters of the general solution
we get polynomial solutions which reveal novel properties when compared to RN
black holes. Specifcally we study the solution in (3 + 1)-dimensions in which
the form of f(R) can be solved explicitly giving a dynamic curvature and
compare it with the RN black hole. We also carry out a detailed study of its
thermodynamics.
