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27 May, 13:51

Determine the interval (s) at which f (x) is concave up given that f′′ (x) = -x2+4x+5.

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  1. 27 May, 14:05
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    f (x) is concave upward where f'' (x) > 0.

    f'' (x) = - (x - 5) (x + 1)

    This will be greater than 0 for x between the roots of - 1 and + 5.

    f (x) is concave upward on the interval (-1, 5).
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