# Maximum-Minimum Problems With Multiple Variables

A function \(f\) of two variables has a relative maximum at \((a, b)\) if \[f(x, y) \leq f(a, b)\] for all points \((a, b)\) in a region containing \((a, b)\) has a relative minimum at \((a, b)\) if \[f(x, y) \geq f(a, b)\] for all points \((a, b)\) in a region containing \((a, b)\) Determination Let’s imagine a function \(f\) has a relative maximum or minimum value at some point \((a, b)\). …