👉 In mathematics, a dyable function is a continuous and differentiable real-valued function that has an inverse function. This means that a dyable function f can be used to find its own inverse function g such that f(g(x)) = x for all x in some domain. The derivative of dyable functions are zero everywhere except at their critical points, which may or may not be isolated points. The term "dyable" is often used in the context of differential equations and control theory to