Let f(x) = x³ + 3x² - 24x + 25. (a) Use the definition of a derivative or the derivative rules to find f'(x) = 3x² + 6x-24 (b) Use the definition of a derivative or the derivative rules to find f''(x) = 6x+6 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 =

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