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) = 4 + 3x" + 6y" 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. O A. The test shows that the local maximum (maxima) is (are) at Type an ordered pair. Use a comma to separate answers as needed.) O B. The test does not reveal any local maxima and there are no critical points for which the test is inconclusive, so there are no local maxima. O C. The test does not reveal any local maxima, but there is at least one critical point for which the test is inconclusive Use the Second Derivative Test to find the local minima. Select the correct choice below and, if necessary. fill in the answer box to complete your choice. A. The test shows that the local minimum (minima) is (are) at. Type an ordered pair. Use a comma to separate answers as needed.) O B. The test does not reveal any local minima and there are no critical points for which the test is inconclusive, so there are no local minima. O C. The test does not reveal any local minima, but there is at least one critical point for which the test is inconclusive. Use the Second Derivative Test to find the saddle points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The test shows that the saddle point(s) is/are at Type an ordered pair. Use a comma to separate answers as needed.) O B. The test does not reveal any saddle points and there are no critical points for which the test is inconclusive, so there are no saddle points. O C. The test does not reveal any saddle points, but there is at least one critical point for which the test is inconclusive. Determine the behavior of the function at any of the critical points for which the Second Derivative Test is inconclusive. Select the correct choice below and, if necessary. fill in the answer box(es) to complete your choice. (Type an ordered pair. Use a comma to separate answers as needed.) A. Among these points, there are local maximum/maxima at . local minimum/minima at . and saddle point(s) at O B. Among these points, there are local maximum/maxima at . local minimum/minima at , and no saddle points. O C. Among these points, there are local maximum/maxima at . no local minima, and no saddle points. O D. Among these points, there are no local maxima, local minimum/minima at . and saddle point(s) at O E. Among these points, there are no local maxima, local minimum/minima at . and no saddle points. OF. Among these points, there are local maximum/maxima at , no local minima, and saddle point(s) at O G. Among these points, there are no local maxima, no local minima, and saddle point(s) at O H. Among these points, there are no local maxima, no local minima, and no saddle points. O 1. The Second Derivative Test is conclusive for each critical point