Given the function g(x) 6x + 63x² + 216x, find the first derivative, g'(x). = (x),6 Notice that g'(x) = 0 when a 3, that is, g'( – 3) = 0. Now, we want to know whether there is a local minimum or local maximum at a = - 3, so we will use the second derivative test. Find the second derivative, g'"(x). = (x), ,6 Evaluate g''( – 3). g''( – 3) =

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