Question

Suppose f(x, y) =

                            ((xy2) / (x2 + y4)), for (x, y) ≠ (0, 0)

                                     0               , for (x, y) = (0, 0)

 

a) Compute fx (0, 0) and fy (0, 0)

b) Show f is not differentiable at (x, y) = (0, 0)

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