The derivative of a function f is given for all x by f' (2) = (422 + 820 - 12) (1 + g(2)2 where g is some unspecified function. At which point(s) will f have a local maximum? 1. local maximum at x = -3 2. local maximum at x = -1 3. local maximum at x = 3 4. local maximum at x = -3, 1 5. local maximum at x = 1