Home
Class 12
MATHS
" If "y=sqrt(logx+sqrt(logx+sqrt(logx+.....

`" If "y=sqrt(logx+sqrt(logx+sqrt(logx+...oo)))," then "(dy)/(dx)` is

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise EXAMPLE|3 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|8 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

Let y=sqrt(x+sqrt(x+sqrt(x+...oo)))," then "(dy)/(dx) is equal to

If y = sqrt(log x + sqrt(logx + sqrt(log x + .....oo))) , prove that (2y - 1) (dy)/(dx) = 1/x

"If "y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo))))," then prove that "(dy)/(dx)=(y^(2)-x)/(2y^(3)-2xy-1)

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

Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to

y = sqrt(cos x + sqrt(cosx + sqrt(cosx + ...."to " oo))) prove that (2y - 1) (dy)/(dx) = - sin x

y = sqrt(sin x + sqrt(sinx + sqrt(sinx + ....1 oo))) prove that (2y - 1) (dy)/(dx) = cos x

y = sqrt(tan x + sqrt(tanx + sqrt(tanx + ...."to" oo))) prove that (2y - 1) (dy)/(dx) = sec^2 x .

If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0 .