👉 In calculus, a differentiable function is one that has an instantaneous rate of change at every point in its domain. This means that for every value of the input variable, there exists a corresponding instantaneous output variable (or derivative) that describes how fast the function changes as it approaches that input from either sides of the point. For example, consider the function f(x) = x^2 - 4x + 3. As we approach x=0, the input becomes infinitely small and its