C O moer.maricopa.edu/assess2/?cid=13162&aid=964507#/skip/14 Given the function g(x) = 4x3+ 12x - 96x, find the first derivative, g' (x). g'(a) Notice that g' (x) = 0 when x - 2, that is, g' (2) = 0. Now, we want to know whether there is a local minimum or local maximum at x = 2, so we will use the second derivative test. Find the second derivative, g'' (x). 9 (x ) Evaluate g' '(2). g' (2 ) = Based on the sign of this number, does this mean the graph of g(a ) is concave up or concave down at x = 2? At a = 2 the graph of g(x ) is Select an answer v Based on the concavity of g(x) at x - 2, does this mean that there is a local minimum or local maximum at x = 2? At a = 2 there is a local Select an answer v Question Help: ] Video D Post to forum Submit Question Jump to Answer e N