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Math Help - Hyperbola

  1. #1
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    Hyperbola

    Hi, i tried to derivate the equation of the ellipse and i managed to do so.
    Then i tried the same with the Hyperbola. Though the equations are almost the same i didnt manage to derivate it.

    Ellips:

    ((x-xo)^2/a^2)+((y-yo)^2/b^2)=1

    Hyperbola:

    ((x-xo)^2/a^2)-((y-yo)^2/b^2)=1

    Look at this material:http://leto.vxu.se/msi/utb/exarb/2000/0072.pdf

    Its on Swedish though but the math is the same

    Page 7 for the ellips and page 13 for the Hyperbola.

    On page 13 they derivate the Hyperbola but for me it seems that the equation isnt correct. I dont see how they exactly get from the third to fourth row.
    Can anyone show me so i understand?
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  2. #2
    Super Member Matt Westwood's Avatar
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    Quote Originally Posted by techmath View Post
    Hi, i tried to derivate the equation of the ellipse and i managed to do so.
    Then i tried the same with the Hyperbola. Though the equations are almost the same i didnt manage to derivate it.

    Ellips:

    ((x-xo)^2/a^2)+((y-yo)^2/b^2)=1

    Hyperbola:

    ((x-xo)^2/a^2)-((y-yo)^2/b^2)=1

    Look at this material:http://leto.vxu.se/msi/utb/exarb/2000/0072.pdf

    Its on Swedish though but the math is the same

    Page 7 for the ellips and page 13 for the Hyperbola.

    On page 13 they derivate the Hyperbola but for me it seems that the equation isnt correct. I dont see how they exactly get from the third to fourth row.
    Can anyone show me so i understand?
    That second line's wrong. It should start -a^2 + c \cdot x ...
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