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If sqrt(y-sqrt(y-sqrt(y-......till oo)))...

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

A

`(x + y +1 )/( x - y +1)`

B

`(y-x +1)/(y-x-1)`

C

`(y-x -1)/(y-x+1)`

D

None of these

Text Solution

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The correct Answer is:
B
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MTG-WBJEE-DERIVATIVES -WB JEE PREVIOUS YEARS QUESTIONS
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  10. Consider the non-constant differentiable function f of one variable wh...

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  14. Let f (x) = {{:((x ^(p))/(( sin x ) ^(q) )"," , 0 lt x le (pi)/(2) ), ...

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  15. For all twice differentiable functions f : R to R , with f(0) = f...

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  17. Let f : [a,b] to Rbe differentiable on [a,b]& k in R. Let f (a) =0 = f...

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  18. Let f (x) gt 0 for all x and f'(x) exists for all x. If f is the inver...

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  19. Applying Largrange's mean value theorem for a suitable function f (x) ...

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  20. The number of points at which the function f(x) = max{a - x, a + x, b}...

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  21. Let f be arry continuously differentiable function on [a,b] and twice ...

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