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Math Help - Somewhere i did mistake...

  1. #1
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    Somewhere i did mistake...

    Fin equation of the tangent line at the given value of x on the curve.
    2xy - 2x + y = -14, x = 2
    This is what i try.==>
    2y + 2xdy - 2 + dy = 0
    2*2y-2*2+y = -14
    5y=-10
    y=-2
    2*(-2) +2*2dy -2 + dy = 0
    5dy = 6
    dy=5/6
    But this isnt answer what i need?
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  2. #2
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    Quote Originally Posted by ArmiAldi View Post
    5dy = 6
    So \frac{dy}{dx}=\frac{6}{5}
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  3. #3
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    that was just typing mistake

    Thats correct, i did typing mistake, but answer need to be one of these:
    1. y = (6/5)x - 22/5
    2. y = (5/6)x - 22/6
    3. y = -(6/5)x + 22/5
    4. y = -(5/6)x + 22/6
    my guess is answer # 3
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