👉 Automatically math, often referred to as automatic differentiation or AD, is a computational technique that efficiently calculates derivatives of functions defined by computer programs. Unlike traditional methods that can be cumbersome or error-prone, especially for complex, high-dimensional functions, automatic math leverages the chain rule from calculus to compute derivatives with precision and speed. It works by simulating the function's computation step-by-step, tracking how changes in inputs affect outputs through intermediate steps. This allows for accurate gradient calculations essential in machine learning, optimization algorithms, and scientific computing, making it a powerful tool for analyzing and optimizing mathematical models without manual intervention.