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d/dx [sin^(-1)((2x)/(1+x^(2)))] at x = 3...

`d/dx [sin^(-1)((2x)/(1+x^(2)))]` at x = 3/2 is

A

(-8/13)

B

(8/13)

C

(13/8)

D

(-13/8)

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. d/dx [cos^(-1)((1-x^(2))/(1+x^(2)))] at x = -1/sqrt2.

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  2. d/dx [sin^(-1)((2x)/(1+x^(2)))] at x = 1/2 is

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  3. d/dx [sin^(-1)((2x)/(1+x^(2)))] at x = 3/2 is

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  4. If y = sin^(-1) (3x-4x^(3)), then dy/dx at x = 1/3 is

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  5. If y = sin^(-1) (3x-4x^(3)), then dy/dx at x = 1/sqrt2 is

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  6. d/dx [cos^(-1) (2x^(2)-1)] at x = -1/sqrt2 is

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  7. d/dx [cos^(-1) (2x^(2)-1)] at x = 1/sqrt2

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  8. If y = sin^(-1) (2x sqrt(1-x^(2))), then dy/dx at x = sqrt3/2 is

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  9. If y = sin^(-1) (2x sqrt(1-x^(2))), then dy/dx at x = 1/2 is

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  10. (d)/(dx)["cosec"^(-1)((1+x^(2))/(2x))] is :

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  11. If y=tan^(-1)(sec x+tan x) then (dy)/(dx)=

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  12. If y=tan^(-1)((sin x + cos x)/(cos x - sin x)), then (dy)/(dx) is equa...

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  13. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)), then (dy)/(dx) is

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  14. If y = sin^(-1) ((1-x^(2))/(1+x^(2))), then dy/dx =

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  15. The derivative of tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)] with respect to...

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  16. d/dx {cos [2sin^(-1) (cos x)]} =

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  17. If y = tan^(-1)((sin x)/(1+cos x)) find (dy)/(dx).

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  18. Let f(x+y)=f(x)f(y) and f(x)=1+(sin2x)g(x), where g(x) is continuous. ...

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  19. Let f and g be differentiable functions such that ("fog")'=I. If g'(a)...

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  20. Let f(x+y) = f(x).f(y), forall, x, y. Suppose f(5) =2, f^(')(0) = 3 th...

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