Let (x, y) = (xy) 1/3 . (a) Use the limit definition to show that x(0, 0)
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Let ƒ(x, y) = (xy)1/3.
(a) Use the limit definition to show that ƒx(0, 0) = ƒy(0, 0) = 0.
(b) Use the limit definition to show that the directional derivative Du ƒ(0, 0) does not exist for any unit vector u other than i and j.
(c) Is f differentiable at (0, 0)?
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a By the limit definition and since f0 0 0 we have fx00 lim ...View the full answer
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