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steel11 Group Title

implicit differentiation help. Somebody here has got to know how to do this problem... >.< http://gyazo.com/53dfb49c3ca8d1a3b949b4f9f2afa67c

  • one year ago
  • one year ago

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  1. vf321 Group Title
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    Do you know the power rule?

    • one year ago
  2. steel11 Group Title
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    yes

    • one year ago
  3. steel11 Group Title
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    i know how to get y' alone. im having problems putting it in the formular y-y1=m(x-x1)

    • one year ago
  4. vf321 Group Title
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    How so?

    • one year ago
  5. Coolsector Group Title
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    (2/3) * x^-(1/3) + (2/3) * y^-(1/3) * (dy/dx) = 0 dy/dx = -x^(-1/3) / y^(-1/3)

    • one year ago
  6. steel11 Group Title
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    yes, got that far. now what coolsector?

    • one year ago
  7. vf321 Group Title
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    Fill in y

    • one year ago
  8. vf321 Group Title
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    and x

    • one year ago
  9. Coolsector Group Title
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    plug x = -3sqrt(3) , y= 1

    • one year ago
  10. steel11 Group Title
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    i filled in both x and y. and got a number. i used that as my slope in the equation y-y1=m(x-x1)

    • one year ago
  11. Coolsector Group Title
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    you get dy/dx = - (3sqrt(3))^(-1/3)

    • one year ago
  12. steel11 Group Title
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    yes, which is -1.732 corect?

    • one year ago
  13. Coolsector Group Title
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    mm i ges -0.577 in fact

    • one year ago
  14. Coolsector Group Title
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    and x1 = -3sqrt(3) y1 = 1...

    • one year ago
  15. steel11 Group Title
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    dy/dx = -x^(-1/3) / y^(-1/3) i replaced x and y with given points in this, and got -1.732

    • one year ago
  16. Coolsector Group Title
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    dy/dx = -(3sqrt(3))^(-1/3) / 1

    • one year ago
  17. Coolsector Group Title
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    dy/dx = -(3sqrt(3))^(-1/3) i get -0.577

    • one year ago
  18. steel11 Group Title
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    ok. go on with that then. what is the final answer?

    • one year ago
  19. steel11 Group Title
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    need an equation in y= form

    • one year ago
  20. Coolsector Group Title
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    y =1 -0.577(x+3sqrt(3)) y= 1 -0.577x -3 y = -0.577x -2

    • one year ago
  21. Coolsector Group Title
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    in fact dy/dx = -1/sqrt(3) so : y = -x/sqrt(3) -2

    • one year ago
  22. Coolsector Group Title
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    \[y = \frac{ -x }{ \sqrt{3} } -2\]

    • one year ago
  23. steel11 Group Title
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    http://gyazo.com/b7dc43e97670c3b7879e2ed74d7c4fe0

    • one year ago
  24. steel11 Group Title
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    says incorrect :/

    • one year ago
  25. Coolsector Group Title
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    if we plug x = -3sqrt(3) we get y = 1 right ?

    • one year ago
  26. steel11 Group Title
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    yes

    • one year ago
  27. Coolsector Group Title
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    well weird

    • one year ago
  28. steel11 Group Title
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    yeah, i have no idea how to do this problem :/ thanks anyways

    • one year ago
  29. Coolsector Group Title
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    im sure it is correct

    • one year ago
  30. steel11 Group Title
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    just tried putting in again, says wrong. :|

    • one year ago
  31. steel11 Group Title
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    going to close post and make another one.

    • one year ago
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