If `x` is very large as compare to `y ,` then prove that `sqrt(x/(x+y))dotsqrt(x/(x-y))=1+(y^2)/(2x^2)` .

If x is very large as compare to y,then the value of kin sqrt((x)/(x+y))sqrt((x)/(x-y))=1+(y^(2))/(kx^(2))

if x is very large as compare to y,then the value of k in sqrt((x)/(x+y))sqrt((x)/(x-y))=1+(y^(2))/(kx^(2))

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

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

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

xy log(x+y)=1, prove that (dy)/(dx)=-(y(x^(2)y+x+y))/(x(xy^(2)+x+y))

If x sqrt(1+y)+y sqrt(1+x)=0, then prove that (dy)/(dx)=-(1+x)^(-2)

If xy log(x+y)=1, prove that (dy)/(dx)=-(y(x^(2)y+x+y))/(x(xy^(2)+x+y))

If xy log(x+y)=1, prove that (dy)/(dx)=-(y(x^(2)y+x+y))/(x(xy^(2)+x+y))=

If x= cot A + cos A and y= cot A - cos A, prove that ((x-y)/(x+y))^(2)+((x-y)/(2))^(2)=1.