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Math Help - Differentiability

  1. #1
    Junior Member
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    Aug 2009
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    Differentiability

    I don't understand this question. Could I get some help with it. (Problem is attached)

    Thanks
    Attached Thumbnails Attached Thumbnails Differentiability-problem-3.jpg  
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  2. #2
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    It asks you to prove that the derivative of f(x,y) in (0,0) in the direction of a generic vector v (directional derivative) exists. You can do this thinking of v as (a,b) for example, or (cos \theta, sin \theta).

    Then you have to prove that f(x,y) is not differentiable at that point.

    Do you understand why this would be "surprising" as the exercise says, and what two important concepts is it referring to?
    Last edited by kodos; October 20th 2009 at 12:29 PM.
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