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please show work If f, f', and f* are continuous for all x with f (5) -9, and if f'(x) has a local maximum at

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please show work

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If f, f', and f* are continuous for all x with f (5) -9, and if f'(x) has a local maximum at x = 5, then (A) f '(5) = 0 (B) the graph of f is concave up in an open interval containing x = 5 (C) f is increasing on an open interval containing x = 5 (D) the point (5, 9) is a point of inflection

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