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Differentiation of tan^(- 1)sqrt((1-x^2)...

Differentiation of `tan^(- 1)sqrt((1-x^2)/(1+x^2))` w.r.t `cos^(-1)x^2` is

A

`-(1)/(2)`

B

1

C

`(1)/(2)`

D

2

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-DIFFERENTIATION-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)
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  8. If cos x =1/sqrt(1+t^(2)), and sin y = t/sqrt(1+t^(2)), then (dy)/(dx)...

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  12. d/(dx)[sin^(- 1)(x-(4x^3)/27)]= 4x327dx

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  13. (d)/(dx)(sec^(2)x*csc^(2)x)=

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  14. If y=log((1)/(1-x))," then: "(dy)/(dx)-1=

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  16. If y=cos((1)/(2)cos^(-1)x)," then "(dx)/(dy)=

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  18. If x^(2)=1+cosy," then: "(dy)/(dx)=

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  19. Defferential coefficient of x^(x)w.r.t.x*logx is

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  20. If x=sqrt(y+sqrt(y+sqrt(y+..."to"oo)))," then: "(dy)/(dx)=

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  21. If 3x^(2)+4xy-5y^(2)=0," then: "(dy)/(dx)=

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