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steel11

  • 3 years ago

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

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  1. vf321
    • 3 years ago
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    Do you know the power rule?

  2. steel11
    • 3 years ago
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    yes

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

  4. vf321
    • 3 years ago
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    How so?

  5. Coolsector
    • 3 years ago
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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)

  6. steel11
    • 3 years ago
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    yes, got that far. now what coolsector?

  7. vf321
    • 3 years ago
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    Fill in y

  8. vf321
    • 3 years ago
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    and x

  9. Coolsector
    • 3 years ago
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    plug x = -3sqrt(3) , y= 1

  10. steel11
    • 3 years ago
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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)

  11. Coolsector
    • 3 years ago
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    you get dy/dx = - (3sqrt(3))^(-1/3)

  12. steel11
    • 3 years ago
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    yes, which is -1.732 corect?

  13. Coolsector
    • 3 years ago
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    mm i ges -0.577 in fact

  14. Coolsector
    • 3 years ago
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    and x1 = -3sqrt(3) y1 = 1...

  15. steel11
    • 3 years ago
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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

  16. Coolsector
    • 3 years ago
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    dy/dx = -(3sqrt(3))^(-1/3) / 1

  17. Coolsector
    • 3 years ago
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    dy/dx = -(3sqrt(3))^(-1/3) i get -0.577

  18. steel11
    • 3 years ago
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    ok. go on with that then. what is the final answer?

  19. steel11
    • 3 years ago
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    need an equation in y= form

  20. Coolsector
    • 3 years ago
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    y =1 -0.577(x+3sqrt(3)) y= 1 -0.577x -3 y = -0.577x -2

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

  22. Coolsector
    • 3 years ago
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    \[y = \frac{ -x }{ \sqrt{3} } -2\]

  23. steel11
    • 3 years ago
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    http://gyazo.com/b7dc43e97670c3b7879e2ed74d7c4fe0

  24. steel11
    • 3 years ago
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    says incorrect :/

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

  26. steel11
    • 3 years ago
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    yes

  27. Coolsector
    • 3 years ago
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    well weird

  28. steel11
    • 3 years ago
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    yeah, i have no idea how to do this problem :/ thanks anyways

  29. Coolsector
    • 3 years ago
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    im sure it is correct

  30. steel11
    • 3 years ago
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    just tried putting in again, says wrong. :|

  31. steel11
    • 3 years ago
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    going to close post and make another one.

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