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If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo))...

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

A

`1/(2y-1)`

B

`(y^(2)-x^(2))/(2y^(3)-2xy-1)`

C

2y-1

D

`(x+y^(2))/(2y^(3)-2xy-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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TARGET PUBLICATION-DIFFERENTIATION -LOGARITHMIC DIFFERENTIATION
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  2. If sin (x+y) +cos (x+y) =1,then (dy)/(dx)=

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  3. If sin(x+y)=log(x+y) then (dy)/(dx)=

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

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