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Recent works have shown the ability of Implicit Neural Representations (INR) to carry meaningful representations of signal derivatives. In this work, we leverage this property to perform Video Frame Interpolation (VFI) by explicitly constraining the derivatives of the INR to satisfy the optical flow constraint equation. We achieve state-of-the-art VFI on Adobe-240FPS, X4K and UCF101 datasets using only a target video and its optical flow, without learning the interpolation operator from additional training data. We also found that constraining the INR derivatives not only enhances the interpolation of intermediate frames but also improves the ability of narrow networks to fit observed frames. By limiting the INR derivatives, we were able to improve the network’s efficiency in fitting observed frames, which could lead to more advanced video compression techniques and optimized INR representations. Our work highlights the potential of Implicit Neural Representations in video processing tasks and provides valuable insights into their utilization for signal derivatives.