A '''Lagrangian multiplier''' is a constant, usually represented by the Greek symbol lambda (λ), which is part of the formula for finding an extreme value of a function ''f(x,y)'' subject to a constraint ''g(x,y)''. For example, the method of Lagrange multipliers can help determine the maximum area of a rectangle that can be fit inside a given circle represented by ''g(x,y) = x<sup>2</sup> + y<sup>2</sup>''. | A '''Lagrangian multiplier''' is a constant, usually represented by the Greek symbol lambda (λ), which is part of the formula for finding an extreme value of a function ''f(x,y)'' subject to a constraint ''g(x,y)''. For example, the method of Lagrange multipliers can help determine the maximum area of a rectangle that can be fit inside a given circle represented by ''g(x,y) = x<sup>2</sup> + y<sup>2</sup>''. |