Theorem of implicit functions help

[caz2bee]

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 don't know where to start with this one.

 

[dextercioby]

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

Daniel.

 

[campa]

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