5. For the function f(x) = 13 + 6x2 + 9x - 2, determine the following: (a) (2 points) first derivative; (b) (2 points) second derivative; (c) (3 points) critical point(s), and identify as "local minimum" or "local maximum", if ap- plicable; (d) (2 points) inflection point(s); (e) (2 points) intervals where f(x) is increasing and intervals where f (r) is decreasing; (f) (2 points) intervals where f(r) is concave-up and intervals where f(r) is concave-down