if `x^2+y^2 = t - 1/t` and` x^4 + y^4 = t^2 + 1/t^2 `then prove that `dy/dx = 1/(x^3y)`

If x^(2)+y^(2)=t-1/t andx^(4)+y^(4)=t^(2)+(1)/(t^(2)), then prove that (dy)/(dx)=(1)/(x^(3)y).

if x^(2)+y^(2)=t-(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) then prove that (dy)/(dx)=(1)/(x^(3)y)

If x^(2)+y^(2)=t-(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) then prove that (dy)/(dx)=(1)/(x^(3)y)

If x^(2)+y^(2) = t +1//t and x^(4) +y^(4) = t^(2) + 1//t^(2) then (dy)/(dx) =______________

If x+y=t+(1)/(t) and x^(3)+y^(3)=t^(3)+(1)/(t^(3)) then prove that (dy)/(dx)=-(1)/(x^(2))

If x+y=t+(1)/(t) and x^(3)+y^(3)=t^(3)+(1)/(t^(3)) then prove that (dy)/(dx)=-(1)/(x^(2))

If x^(2) +y^(2) =t-(1)/(t) andx^(4) +y^(4) =t^(2) +(1)/( t^(2)),then (dy)/(dx) =

If x^(3)+y^(3)=t-(1)/(t) and x^(6)+y^(6)=t^(2)+(1)/(t^(2)) then prove that (d^(2)y)/(dx^(2))=(2y)/(x^(2))

If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) then (dy)/(dx)=