Companding, current mode, class-AB, Sinh filters provide high dynamic range with only half the capacitor value needed compared to the pseudo class-AB log-domain filters counterpart. Most Sinh filters, however, arise from the basic Sinh integrator building block. This paper describes the synthesis of a new, companding, Class-AB Sinh current mode differentiator which offers a basic building block for the current mode filters with the advantage of 1/f noise suppression due to a low frequency attenuation of the differentiator. The proposed differentiator was designed and simulated with HSPICE program using 0.35µm AMS CMOS process. With power supply of ±1V and the operating frequency range of 1Hz-100kHz, the proposed differentiator exhibited simulated input dynamic range of 98dB at operating frequency of 1kHz, and the power consumption of 0.36µW-7.2µW.