👉 The term "extremest" in mathematical terms refers to a point where the values of two or more variables are very close to each other, and this is often used when comparing different quantities. In calculus, an extremest occurs when there exists at least one critical point (a local maximum or minimum) within a bounded interval around a fixed value, which has the property that all the derivatives of the function evaluated at these points are either zero or infinite. For example, consider the function f(x