If `sqrt(1-x^(2))+sqrt(1-y^(2))=x-y`, then prove that, `(dy)/(dx)=(sqrt(1-y^(2)))/(sqrt(1-x^(2))),x ne y`

If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) , show that, (dy)/(dx)=(sqrt(1-y^(2)))/(sqrt(1-x^(2))) .

If sqrt(1-x^(4))+sqrt(1-y^(4))=k(x^(2)-y^(2)) , prove that, (dy)/(dx)=(xsqrt(1-y^(4)))/(ysqrt(1-x^(4)))

sqrt(1+x^(2))dy+sqrt(1+y^(2))dx=0

(dy)/(dx)=sqrt(x+y+1)

If sqrt(1-x^6)+sqrt(1-y^6) = a(x^3-y^3) then prove that (dy)/(dx)= x^2/y^2sqrt((1-y^6)/(1-x^6))

If sqrt(1 -x^2) + sqrt(1-y^2) = a(x-y), show that, (dy)/(dx) = sqrtfrac(1-y^2)(1-x^2)

If sqrt(1-x^(2n))+sqrt(1-y^(2n))=a^(n)(x^(n)-y^(n)) , prove that, (dy)/(dx)=((x)/(y))^(n-1).sqrt((1-y^(2n))/(1-x^(2n))

If sqrt(1-x^2)+sqrt(1-y^2)=a(x-y) ,show that dy/dx=sqrt((1-y^2)/(1-x^2))

If x sqrt(1-y^(2))+y sqrt(1-x^(2))=k , then the value of (dy)/(dx) at x=0 is -

If y = sin^(-1){(5x+12sqrt(1-x^2))/13} then show that (dy)/(dx) = 1/sqrt(1-x^2)