Differentiable refers to the quality of a function or mathematical structure being continuous and having a unique slope or derivative at every point within its domain. In the context of research, differentiable typically refers to the study and analysis of functions, algorithms, or models that possess this property. Differentiable research often involves optimizing functions, conducting sensitivity analysis, and exploring gradient-based methods for solving complex problems in various fields such as machine learning, optimization, and scientific computing. This area of research is essential for developing efficient and accurate computational techniques for a wide range of applications.