HHH A) Local minimum at x = 1; local maximum at x = -1; concave up on (0, "); concave down on (-09, 0) By Local minimum at x = 1; local maximum at x = -1; concave down on (-co, ") Local minimum at x = 1; local maximum at x = -1; concave up on (-co, 0.) Local minimum at x = 1; local maximum at x = -1; concave down on (0, co); concave up on (-09, 0) Provide an appropriate response. 12) Suppose the derivative of the function y = f(x) is y' = (x - 6)2(x + 8). Use the first derivative test to determine at what points, if any, the graph of f has a local minimum or local maximum? ( x - 6 ) = 6) " ( x + 8 ) = 0 X- 6=0 x+8 = 0 -8 - r + 6 + X = -8 X= 6 + + + Max -8 Max 6 Max