To determine the value of for the function , where , we follow these steps:

First, find the critical points by setting the derivative equal to zero:

Factoring gives:

Thus, the critical points are and
corresponds to a local maximum.
corresponds to a local minimum.
According to the problem, . Substituting

and gives:

Solving for gives:

Since , we have .
Now, substitute back into the function:

To find :

Calculate each term:

Thus,

So, .

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