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let y=sqrt(x+sqrt(x+sqrtx...oo))) then d...

let `y=sqrt(x+sqrt(x+sqrtx...oo)))` then `dy//dx` equals

A

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

B

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

C

`(1)/(sqrt(1-4x))`

D

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

Text Solution

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The correct Answer is:
A, D
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ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
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  16. Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1).x then

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