Various optical differential computing devices have been designed, which have advantages of high speed and low power consumption compared with traditional digital computing. In this paper, considering the reflection of a light beam through a three-layer structure composed of glass, metal and air, we propose a designable optical differential operation based on surface plasmon resonance (SPR). When the SPR is excited under certain conditions, the spin-dependent splitting in the photonic spin Hall effect (SHE) changes dramatically. We first prove theoretically that this three-layer structure can realize one-dimensional optical differential operation. By discussing the transverse beam displacement under different conditions, it is found that the designable differential operation with high sensitivity can be realized by slightly adjusting the incident angle and the thickness of metal film. We design the differentiator which can obtain the image of measured target edge in real time and get different edge effects at different times. This will provide more possible applications for autonomous driving and target recognition.