Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

?
If  gives rise to a (constrained) relative extremum of  subject to the constraint , then  also gives rise to the unconstrained relative extremum of .

What will be an ideal response?


Let  and , then the point  gives rise to a (constrained) relative extremum(minimum), . But gives the unconstrained relative extremum(minimum), so the statement is false.

Mathematics

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