In his study Aydogdu analyzed the vibration and buckling of axially functionally graded simply supported beams. By using pre-defined frequency and buckling loads he determined the Young’s modulus in axial direction as a function of axial coordinate. In this study it is demonstrated that there is error in his calculation; moreover, corrected computation is presented and the right solution of the ODE is visualized. It is pointed out that the method used by Aydogdu is apparently not applicable for the solution of the problem at hand.