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Find the local extrema of the following function. f(x,y) = - 4x2 - 8xy - 5y2 - 96x - 108y + 5 . . .

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Find the local extrema of the following function. f(x,y) = - 4x2 - 8xy - 5y2 - 96x - 108y + 5 . . . Find f (x,y) and fy(x,y). fx (x,y) = - 8x - 8y -96 fy (x,y) = - 8x - 10y - 108 Identify the location of any local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There are local maxima located at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no local maxima

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