Question 7 You are allowed to use five 3 in by 5 in notecards, your calculator, and Desmos. D Given the function g(r) = 6x + 45x4 + 108x, find the first derivative, g'(x). g'(x) Notice that g' (I) - 0 when I - - 3, that is, g'( - 3) = 0. Now, we want to know whether there is a local minimum or local maximum at I = - 3, so we will use the second derivative test. Find the second derivative, g' '(x). 9 (I) Evaluate g' (- 3). g"( - 3) Based on the sign of this number, does this mean the graph of g(x ) is concave up or concave down at r = 3? At x - - 3 the graph of g(x) is Select an answer v Based on the concavity of g(I) at I = - 3, does this mean that there is a local minimum or local maximum at x = - 3? At x - - 3 there is a local Select an answer e hp X N O W O