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The question will be embedded in the theoretical framework conceived by the Turinese mathematician. Lagrange multipliers, constrained maxima and minima.
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    , subject to the condition that one or more equations have to be satisfied exactly by the chosen values of the variables).

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  • The components of grad(f) and grad(g) are displayed in the lower-right corner.
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    Because we will now find and prove the result using the Lagrange multiplier method.

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  • The points (±1,0) are minima, f (±1,0) = 1; the points (0,±1) are maxima, f (0,±1) = 2.
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    There are two Lagrange multipliers, λ1 and λ2, and the system of equations becomes.

  • I was trying to verify whether it corresponds to maximum or minimum value.
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    , subject to the condition that one or more equations have to be satisfied exactly by the chosen values of the variables).

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    There are two Lagrange multipliers, λ1 and λ2, and the system of equations becomes.