This paper investigates the impact of factors such as rake angle, texture width, texture depth, distance of the textures, and cutting velocity on the occurrence of derivative cutting during titanium alloy machining using FEM. The results indicate that the width of the surface-texture has the greatest influence on derivative cutting, followed closely by the distance of the textures. To mitigate the adverse effects of derivative cutting, optimizations were carried out on the width and distance of the textures of the surface-texture. Simulation results reveal that both the main and thrust force are reduced in the optimized NDCT compared to the DCT. Therefore, the optimized NDCT can effectively diminish the detrimental effects of derivative cutting.