Home
Class 12
MATHS
If sqrt(y+x) +sqrt(y-x) =c show that d...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

If sqrt(y+x)+sqrt(y-x)=c ,s howt h a t(dy)/(dx)=y/x-sqrt((y^2)/(x^2)-1.)

If sqrt(y+x)+sqrt(y-x)=c ,s howt h a t(dy)/(dx)=y/x-sqrt((y^2)/(x^2)-1.)

if sqrt(y+x)+sqrt(y-x)=c then find (dy)/(dx)

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

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

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

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

x(dy)/(dx)-y=2sqrt(y^(2)-x^(2))

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

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