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Math Help - Need help with finding tangent lines...

  1. #1
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    Need help with finding tangent lines...

    I have encountered this type of problem a few times in my class and need help:

    Find the equation(s) of the tangent line(s) to the curve f(x)= x/(1-x) that is perpendicular to the line x + 2y = 4

    Since the line "x + 2y = 4" has a slope of -.5, I'm guessing I have to find where on the curve f(x) the tangent line has a slope of 2. Would I just set up an equation where 2 is equal to the equation of the slope of the tangent line for f(x) and solve for x?

    I got an answer this way but I'm not sure if that's the right way to do it...

    Thanks
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  2. #2
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    Quote Originally Posted by haydn View Post
    Would I just set up an equation where 2 is equal to the equation of the slope of the tangent line for f(x) and solve for x?
    If you solved the equation f ' (x) = 2 then you did it the correct way.
    If you solved the equation f(x) = 2 then that is wrong.
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