y=sqrt(x^(2)+a^(2))*" rover that "y(dy)/(dx)-x=0

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

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

if y=sqrt(x^(2)+a^(2)), then show that y(dy)/(dx)=x

If y=log(sqrt(x+sqrt(x^(2)+a^(2))))" then: "(dy)/(dx)=

If xy=a[y+sqrt(y^(2)-x^(2))] , prove that, x^(3)(dy)/(dx)=y^(2)(y+sqrt(y^(2)-x^(2)))

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

If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt(x^2+a^2)) .

If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt((x^2+a^2)

If y=log{x+sqrt(x^(2)+a^(2))}, prove that: (x^(2)+a^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)=0

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