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Derivative of tan^(-1){(x)/(1+sqrt(1-x^(...

Derivative of `tan^(-1){(x)/(1+sqrt(1-x^(2)))}w.r.t.sin^(-1)` is

A

`(1)/(2)`

B

1

C

2

D

`(3)/(2)`

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

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  5. If y=sqrt(cos2x)," then: "yy(2)+2y^(2)=

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  7. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

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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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  11. If y=cos^(2)[tan^(-1)sqrt((1-x)/(1+x)))] 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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  15. If y=4^(log2(sinx))+9^(log3(cosx)," then "(log2(log3)y(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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