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Consider the following problem: $\text{minimize} \ \ f(x) \\ \text{subject to} \ \ x = 4$

To find the minimum, we can just plug in $x=4$? Why even use other methods? Also how would you find the associated Lagrange Multplier?

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    The same as usual, $\lambda(x-4)$. However, differentiation is irrelevant, everything is a boundary point.2012-05-10

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