if f is differentiable in [a,b] then it is monotonically decreasing if
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Theorem 2 Let f be a differentiable function on an open interval (a, b). If f/(x) > 0 for all x in (a, b), then f is increasing on (a, b). If f/(x) < 0 for all x in (a, b), then f is decreasing on (a, b).
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