Find all positive integers \(n\) such that the following statement holds:
Let \(f:\mathbb{R}^n\to \mathbb {R}\) be a differentiable function that has a unique critical point \(c\). If \(f\) has a local maximum at \(c\), then \(f(c)\) is an absolute maximum of \(f\).
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2015-14 Local and absolute maximum,
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