Let f(x) = 13 + 612 - 180x + 14. (a) Use the definition of a derivative or the derivative rules to find f' (1) = (b) Use the definition of a derivative or the derivative rules to find f" '(x) = (c) On what open interval is f increasing? interval of increasing = (d) On what open interval is f decreasing? interval of decreasing = (e) On what open interval is f concave downward? interval of downward concavity = (f) On what open interval is f concave upward? interval of upward concavity =