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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 2

    ICSE|Exercise Section - B|10 Videos

  • MODEL TEST PAPER - 2

    ICSE|Exercise Section - C|10 Videos

  • MODEL TEST PAPER - 18

    ICSE|Exercise Section - C|10 Videos

  • MODEL TEST PAPER - 3

    ICSE|Exercise SECTION - C|10 Videos

Similar Questions

Explore conceptually related problems

y=sqrt(sin +cos x+sqrt(sinx+ cos x +sqrt(sin x +cos x +....oo))) then find dy/dx

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

if y=sqrt((1-cos x )/(2)) , the n prove that (dy)/(dx)=1/2cos" x/2.

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(tanx+sqrt(tanx+sqrt(tanx+\ dotto\ oo))) , prove that (dy)/(dx)=(s e c^2x)/(2y-1)

If y=(sin x) ^(sin x ^sin x ....oo) then prove that dy/dx=(y^2 cot x)/(1-y log (sin x))

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

If y = log ( sqrt( sin x - cos x)) , that prove that (dy)/(dx) = - (1)/(2) tan ((pi)/( 4) + x)

If y=sqrt(x+sqrt(x+sqrt(x......... oo ))) then dy/dx

If y=sqrt(x+sqrt(x+sqrt(x+\ dotto\ oo))) , prove that (dy)/(dx)=1/(2\ y-1)