This paper presents a new differentiable, time-varying controller for the regulation problem for wheeled mobile robots. After the WMR kinematics have been transformed into an advantageous form, a dynamic oscillator, in lieu of explicit cosine br sine terms, is constructed to promulgate a global exponential regulation property for the transformed kinematic model via a Lyapunov-type argument. In order to showcase the differentiable nature of the proposed kinematic control structure, we demonstrate how the standard backstepping technique can be applied to obtain a global exponential regulator for an exact dynamic model.