The function f(x, y) = xy sin(1/x)

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when (x =| 0), and f(0, y) = 0

(A) has both partial derivatives at (0; 1). (B) is dierentiable at (0; 0) and discontinuous at (1; 0).

everywhere in R2. (E) none of the above.

Reference no: EM13960153

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