Differentiable function
A differentiable function is a Functional (mathematics) that can be differentiated, meaning its rate of change can be determined at any given point. This concept is fundamental in Analytic geometry and Mathematical notation, as it allows for the study of Equations and their behavior. Differentiable functions are used to model a wide range of phenomena, from the motion of objects in Plane space to the growth of populations in Ecology. The concept of differentiability is closely related to the idea of Feedback loops and is a key component in the development of Time-series models. Carl Friedrich Gauss and other mathematicians have made significant contributions to the study of differentiable functions.