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

If `y= sqrt (cos x + sqrt (cos x + sqrt (cos x + ......oo)))`, then show that `dy/dx = frac{sin x}{1-2y}`

A

`(sin x)/(2y-1)`

B

`(sin x)/(1-2y)`

C

`(sin x)/(1+2y)`

D

`(cos x)/(1-2y)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If y= sqrt (sin x + sqrt (sin x + sqrt (sin x + .......oo))) , then show that dy/dx = frac {cos x}{2y-1}

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

If y= sqrt (log x + sqrt (log x + sqrt (log x + .......oo))) , then dy/dx =....... A) frac{1}{2y-1} B) frac {1}{x(2y-1)} C) frac {1}{2xy} D) frac {1}{x(y-1)}

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

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

If x sin(a+y) + sin a cos(a+y) then show that dy/dx = frac{ sin^2 (a+y)}{sin a}

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

find dy/dx if sqrt x + sqrt y = sqrt a

If x= sqrt ( a^( sin^(-1) t) ) and y= sqrt ( a^( cos^(-1) t) ), then show that dy/dx = -(y/x)