Question: Let f be defined as in Problem 2-4. Show that Dxf (0, 0) exists for all , but if g 0, , then Dx +

Let f be defined as in Problem 2-4. Show that Dxf (0, 0) exists for all , but if g ≠ 0, , then Dx + yf (0,0) =Dxf (00 Dx + y f (0, 0) = Dx f (0 , 0) + Dyf (0, 0) Is not true for all x and all y.

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