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

The derivative of `sec^(-1)((1)/(2x^(2)-1))` w.r.t. `sqrt(1-x^(2))` at `x=1/2` is

A

2

B

4

C

1

D

(-2)

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The correct Answer is:
B
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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
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  4. If y = sqrt(tanx+sqrt(tan+sqrt(tanx+......,)))then dy/dx =

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  5. If y = 2^(ax) and dy/dx = log 256 at x =1, then the value of a is

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  6. If x^(y) = log x, the value of dy/dx at x = e is

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  7. d/dx {(cosx + sinx)/(cos x - sin x)} =

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  8. If f(x) = |x|, then f^(')(0) =

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

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  10. If f(x) = (x-1)(x-2)(x-3), then f^(')(0) =

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  11. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (-1 l...

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  12. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (0 lt...

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  13. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (x gt...

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  17. If y = tan^(-1) [(sqrt(1+sinx) + sqrt(1-sinx ))/(sqrt(1+sinx)-sqrt(1-s...

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  18. If y=tan^(-1)((4x)/(1-5x^(2)))+tan^(-1)((3+8x)/(8-3x)), then (dy)/(dx)...

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

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

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