Let f(x) = x³ + 9x² (a) Use the definition of a derivative or the derivative rules to find f'(x) = 21x + 20. (b) Use the definition of a derivative or the derivative rules to find f''(x) = For the next parts of the problem, used closed interval notation to enter your answers: (c) ¿On what interval is f increasing (or more specifically, non-decreasing)? interval of increasing (d) ¿On what interval is f decreasing (or more specifically, non-increasing)? interval of decreasing = (e) ¿On what interval is f concave downward (include the endpoints in the interval)? interval of downward concavity (f) ¿On what interval is f concave upward (include the endpoints in the interval)? interval of upward concavity =

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