  In this paper, we consider three types (static, static charged and rotating
charged) of black holes in f(R) gravity. We study the thermodynamical behavior,
stability conditions and phase transition of these black holes. It will be
shown that, the number and type of phase transition points are related to
different parameters, which shows the dependency of stability conditions to
these parameters. Also, we extended our study to different thermodynamic
geometry methods (Ruppeiner, Weinhold and GTD). Next, we investigate the
compatibility of curvature scalar of geothermodynamic methods with phase
transition points of the above balck holes. In addition, we point out the
effect of different values of spacetime parameters on stability conditions of
mentioned black holes.
