👉 In mathematics, an extremal problem is a particular type of optimization problem where one seeks to minimize or maximize some quantity by choosing a set of variables. Extremals are solutions that satisfy certain constraints but do not violate any other constraints. For example, consider the following problem: Minimize f(x) = 2x^3 + x^2 - 4x - 5 Subject to the constraint g(x) = 0, which is the equation of a line passing through (