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Absolute Maximum on a Closed Interval

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Let g be a function that is continuous on the closed interval [−2,4][-2, 4], with a derivative given by g′(x)=(x+1)(x−2)2g'(x) = (x+1)(x-2)^2. At what value of x does g attain its absolute maximum on this interval?

A

x = 2

B

x = −1

C

x = 4

D

x = −2

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