The graph of the derivative of a function y = f\'(x) is shown below along with k

Question

The graph of the derivative of a function y = f'(x) is shown below along with key points tor problem. (Assume the ends continue as shown indefinitely.) Identify all critical points of the unknown function f. List the x-values of these critical points as a comma-separated list in increasing order. Critical points of f: Find the sign of f"(x) (+, - or 0) at each of the critical pants. Use a comma-separated list in the same order as above. Signs of f"(x): For each of the critical points above (and in the same order), indicate if the Second Derivative Test indicates that the critical point is a local maximum, a local minimum, not an extreme, or undetermined by creating a comma-separated list using keywords MAX, MIN, NOT, or UND, respectively.

Explanation / Answer

Critical points : x=6

Sign of f''(x) : for x=6; -ve and for all other +ve value

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