Find the local extrema of the following function. f(x.y) = 6 - x² - 7x - y? For the critical points that do not fail the second derivative test, determine whether these points are local maxima, local minima, or saddle points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an ordered pair. Use a comma to separate answers as needed.) O A. The function has no local extrema. B. The function has local maxima located at O C. The function has local minima located at Select the correct choice below and fill in the answer box to complete your choice. (Use a comma to separate answers as needed.) O A. The local minimum/minima is/are O B. The function has no minima or maxima.

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