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Find the critical points of the following function. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local

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Find the critical points of the following function. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, a local minimum, or a saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the critical points. f(x,y) = 2+4x4+34 What are the critical points? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The critical point(s) is/are (Type an ordered pair, Use a comma to separate answers as needed.) O B. There are no critical points. Use the Second Derivative Test to find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The test shows that the local maximum (maxima) is (are) at (Type an ordered pair. Use a comma to separate answers as needed.)

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