Home
Class 12
MATHS
If y=sqrt(tan x+sqrt(tan x +sqrt(tan x+....

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5j|14 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5k|12 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5h|26 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos
  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

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

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

If y=sqrt(tan x+sqrt(tan x+sqrt(tan x+...+oo))) then prove that (2y-1)(dy)/(dx)-sec^(2)x=0

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

y=sqrt(tan x+sqrt(tan x+sqrt(tan x+rarr oo))) prove that (dy)/(dx)=(sec^(2)x)/(2y-1)

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

If y=sqrt(tanx+sqrt(tanx+sqrt(tan+..." to "oo)))," then "(dy)/(dx)=

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(+…..oo))) then prove that (2y-1)dy/dx=1.

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