👉 Unsmoothness in mathematics refers to a property of functions or other mathematical objects, which means that they do not have smooth derivatives. This can occur if the function is not differentiable at certain points, and this derivative does not exist at those points. For example, consider the function f(x) = x^2 - 4x + 3 on the interval [0, 5]. The function is continuous everywhere except at x = 1, where it has a discontinuity. However