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Find the derivative of sec^(-1)((1)/(2x^...

Find the derivative of `sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))" at "x-(1)/(2).`

A

4

B

`1//4`

C

1

D

None of these

Text Solution

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The correct Answer is:
A
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MOTION-METHOD OF DIFFERENTIATION-EXERCISE - 1
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  10. If y=sqrt(logx+sqrt(logx+sqrtlogx+......oo)), " then " dy/dx is

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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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  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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