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Math Help - implicit differentiation

  1. #1
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    implicit differentiation

    how do i show these curves are orthogonal?
    y = ax^3
    x^2+3y^2 = b

    also,

    how do I show that the sum of the x and y intercepts of any tangent line to the curve

    x^.5+y^.5 = c^.5

    Any help appreciated!
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  2. #2
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    Quote Originally Posted by amma0913 View Post
    how do i show these curves are orthogonal?
    y = ax^3
    x^2+3y^2 = b
    these curves are orthogonal if they are perpendicular to each other i.e.
    m_{1}m_{2}=-1
    find m_{1}\ and\ m_{2} and multiply them.
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