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Theorem of implicit functions help

  1. May 5, 2005 #1
    hi guys,
    im a little stuck at the moment trying to answer the follwing calculus question, can anyone help me please.

    if x=a(theta-sintheta), y=a(theta+sintheta), find dy/dx and d^2y/dx^2 at the point where theta=pi/2.

    and given that dy.dx=(dx/dy)^-1, find a fomula for d^2x/dy^2 in terms of dy/dx and d^2y/dx^2.
    and verify the formula for y=x^2

    i really dont know where to start with this one. :cry: :frown: :uhh:
    Last edited: May 5, 2005
  2. jcsd
  3. May 5, 2005 #2


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    Do you know the theorem of implicit functions...?

  4. May 6, 2005 #3
    you have to first get the dy/d(theta) and dx/d(theta) and then place them like
    dy/d(theta) *d(theta)/dx =dy/dx
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