If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+...,)...

If `y=sqrt(sinx+sqrt(sinx+sqrt(sinx+...,)))`, then dy/dx is equal to

A

`(sinx)/(2y-1)`

B

`(cosx)/(2y-1)`

C

`y^2/(cosx-x)`

D

`(2y-1)/(cosx)`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ . . .oo))) , then (dy)/(dx) is equal to

If y = sqrt(sinx+y) , then (dy)/(dx) is equal to

If y=(sinx)^(sinx)^(((sinx)dotoo)) , then (dy)/(dx) is equal to.........

If y=(sinx)^(tanx),then(dy)/(dx) is equal to

If y=2 +sqrt(sinx+2+sqrt(sinx+2+sqrt(sinx+…oo))) then the value of (dy)/(dx) at x = 0 is

If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ tooo))),p rov et h a t(dy)/(dx)=(cosx)/(2y-1)

If y=sqrt(sinx+sqrt(sinx+sqrt(sinx..." to "oo)))," then "(2y-1)y_(1)=

If y=log_(cosx)sinx, then (dy)/(dx) is equal to

If y= sqrt(1+sinx) then find dy/dx