(x)(x-y)y^(n)=2sqrt(x)

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

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

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

If y=(sqrt(x))^(sqrt(x)^(sqrt(x))...oo), show that (dy)/(dx)=(y^(2))/(x(2-y log x))

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)^(sqrt(x)^(sqrt(x)^dotoo)) , show that (dy)/(dx)=(y^2)/(x(2-ylogx)) .

If y=sqrt(x)+(1)/(x), Show that 2x(dy)/(dx)+y=2sqrt(x)