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11. [-/1 Points] DETAILS LARCALCET7 13.4.039.MI. Use the function to show that fx(0, 0) and fy(0, 0) both exist, but that f is not differentiable

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11. [-/1 Points] DETAILS LARCALCET7 13.4.039.MI. Use the function to show that fx(0, 0) and fy(0, 0) both exist, but that f is not differentiable at (0, 0). 9x2y f ( x, y ) = x4+ 1/2 (x, y ) = (0, 0) 0 (x, y) = (0, 0) fx(0, 0) = fy(0, 0) Along the line y = x lim (x, y) - (0, 0) Along the curve y = x lim (x, y) - (0, 0) = Of is continuous at (0, 0) Of is not continuous at (0, 0)

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