Question: Let f(x) = x + 6x? 135x 17. (a) Use the definition of a derivative or the derivative rules to find f'(x) = 3x2

Let f(x) = x + 6x? 135x 17. (a) Use the definition

Let f(x) = x + 6x? 135x 17. (a) Use the definition of a derivative or the derivative rules to find f'(x) = 3x2 + 12x 135 (b) Use the definition of a derivative or the derivative rules to find f'"(x) = + 12 (c) On what interval is f increasing (include the endpoints in the interval)? interval of increasing = (-0,-9) u (5,00) (d) On what interval is f decreasing (include the endpoints in the interval)? interval of decreasing = (-9,5) (e) On what interval is f concave downward (include the endpoints in the interval)? interval of downward concavity = (-,-2) | (f) On what interval is f concave upward (include the endpoints in the interval)? interval of upward concavity = (2,00)

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