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ikram002p

  • one year ago

give an example for continues function but not differentiable

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  1. hartnn
    • one year ago
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    y= |x| it has "V" like shape, at x = 0 it is continuous , but not differentiable.

  2. ikram002p
    • one year ago
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    exactly...but how cud i find a function f(x,y) cont but not diff :)

  3. amistre64
    • one year ago
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    differentiable has to do with limits, if the limits is not the same from all directions, the limit is undefined.

  4. amistre64
    • one year ago
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    edit*** and the derivative of y=|x| is y' = x/|x|

  5. ikram002p
    • one year ago
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    in fact not necessary i mean if the limit exist its continues any way .. i wanna continues fun but not diff in f(x,y)

  6. hartnn
    • one year ago
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    means a 2 variable function example....hmm

  7. ikram002p
    • one year ago
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    yess

  8. amistre64
    • one year ago
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    i recall one function i was limiting, but it was an implicit i think

  9. amistre64
    • one year ago
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    anything with a undefineable partial should suffice

  10. hartnn
    • one year ago
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    yeah, not sure about this, but try f(x,y) = |xy|

  11. ikram002p
    • one year ago
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    ok ill try

  12. amistre64
    • one year ago
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    f = |x+y|-1 :)

  13. amistre64
    • one year ago
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    http://www.wolframalpha.com/input/?i=%28x%2By-1%29%2F%28%7Cx%2By%7C-1%29 heres a nice one

  14. amistre64
    • one year ago
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    |xy| reminds me of one of those paper folded beaks ....

  15. ikram002p
    • one year ago
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    it sounds good but i have to check my txt book to use the definition to know if its not diff

  16. amistre64
    • one year ago
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    im assuming "not differentiable" means that for some x in R, the derivative does not exist.

  17. amistre64
    • one year ago
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    Derelict function comes to mind for some reason as well

  18. ikram002p
    • one year ago
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    yes its correct :) but the one u gave is also not continues there is a thm if the fun is diff then its continues ima give a counter example for the oposite situation like give an example for fun is cont but not diff

  19. ikram002p
    • one year ago
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    @hartnn gave a good example but one variable im gonna to check if xy is true

  20. amistre64
    • one year ago
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    http://www.wolframalpha.com/input/?i=%7Csin%28x%2By%29%7C this one is rather nice looking to me

  21. sdfasfasdfasdfasdfafd
    • one year ago
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    im sorry for barging on your question ikram

  22. ikram002p
    • one year ago
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    it works !! both |xy| |sin(x+y)| thx both @hartnn @amistre64

  23. amistre64
    • one year ago
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    good luck ;)

  24. hartnn
    • one year ago
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    cool :) welcome ^_^

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