Question: Let Show that x (0, 0) and y (0, 0) exist, but is not differentiable at (0, 0). f(x, y) = xy

Let f(x, y) = xy x + y4 0, (x, y) = (0,


Show that ƒx(0, 0) and ƒy(0, 0) exist, but ƒ is not differentiable at (0, 0).

f(x, y) = xy x + y4 0, (x, y) = (0, 0) (x, y) = (0, 0).

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