If a differentiable function f:R-→R is such that f'(x)>0 for x<2, and f '(x)<0 for x>2, then which of the following are true? Check all that apply. O f'(2) = 0 O f has a local max at x=2. O f has a local min at x=2. O f is increasing on (0,2) . O f is decreasing on (0, 2) .

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