Question: Let f be smooth and D be a closed and bounded region in R2 such that f has no critical points inside D. Then which

Let f be smooth and D be a closed and bounded region in R2 such that f has no critical points inside D. Then which of the following statements is false? 0 f does not assume its maximum and minimum values on D O f does not have a local min or local max inside D (D f must assume its maximum and minimum values on the boundary of D O f does not assume its maximum and minimum values inside D
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