In the method of Lagrange multipliers, constraints as multiples of a multiplier are subtracted from the objective function, which is then differentiated with respect to each variable and solved.

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In the method of Lagrange multipliers, constraints are generally added as multiples of a multiplier to the objective function, forming what is called the Lagrangian. The Lagrangian is then differentiated with respect to each variable and the resulting equations are solved along with the constraint equations.

In the Method of Lagrange Multipliers, Constraints as Multiples of a Multiplier