Let f(x) = ln(x) – 3x2 +5+x³. Suppose we are only interested in the subset S of the domain where x E [1, 2.5]. a) Does the extreme value theory guarantee we will have a minimum and a maximum? b) Find the stationary point(s) of f. Is it / are they local minimum, local maximum, or neither? c) What are the global (still only within S) minima and maxima (if they exist)? Check the stationary points above and the boundaries of the domain.

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