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If y=sqrt(logx+sqrt(logx+sqrtlogx+.........

If `y=sqrt(logx+sqrt(logx+sqrtlogx+......oo)), " then " dy/dx ` is

A

`x/(2y+1)`

B

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

C

`(2y-1)/x`

D

`x(2y-1)`

Text Solution

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The correct Answer is:
B
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MOTION-METHOD OF DIFFERENTIATION-EXERCISE - 1
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  6. The differential cofficient of a^(sin^(-1)x)w.r.t sin^(-1)x is -

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  7. The value of derivative of tan^(-1)((2xsqrt(1-x^(2)))/(1-2x^(2)))w.r...

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  10. If y=sqrt(logx+sqrt(logx+sqrtlogx+......oo)), " then " dy/dx is

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  11. If y=cos^(-1)(cosx),t h e n(dy)/(dx) is equal to x/y (b) y/(x^2) (x^2...

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  12. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

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  13. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

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  14. LEt f(x) be a differentiable function and f'(4)=5. Then, lim(x->2)(f(4...

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  15. If u=a x+b ,t h e n(d^n)/(dx^n)(f(a x+b)) is equal to (d^n)/(d u^n)(f(...

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  18. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

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  19. If x=(1+t)/(t^3),y=3/(2t^2)+2/t ,t h e nx((dy)/(dx))^3-(dy)/(dx) is eq...

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  20. If x=a t^2,y=2a t , then (d^2y)/(dx^2) is equal to -1/(t^2) (b) 1/(2a...

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