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If y=cos ^(-1) ((a^(-x) -a^(x))/(a^(-x)...

If ` y=cos ^(-1) ((a^(-x) -a^(x))/(a^(-x) +a^(x))) ,then (dy)/(dx) =`

A

` (-a^(x)log a )/( 1+a^(2x)) `

B

` (a^(x)log a )/( 1+a^(2x)) `

C

` (-2a^(x)log a )/( 1+a^(2x)) `

D

` (2a^(x)log a )/( 1+a^(2x)) `

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Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If y=cos ^(-1) ((x-x^(-1))/( x+x^(-1))) ,then (dy)/(dx)=

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

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  3. If y=cos ^(-1) ((a^(-x) -a^(x))/(a^(-x) +a^(x))) ,then (dy)/(dx) =

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  4. If y=cos ^(-1) sqrt((1+x) /( 2) )then (dy)/(dx)=

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  5. If y =cos ^(-1)(xsin alpha -cos alpha sqrt(1-x^(2))),then (dy)/(dx)=

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

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  7. Find (dy)/(dx) for the function: y=sin^(-1)sqrt((1-x))+cos^(-1)sqrt(x)

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  8. If y=cos^(-1)((2x)/(1+x^(2))), then (dy)/(dx) is equal to

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  9. If y=cos^(-1)((2x)/(1+x^(2))), then (dy)/(dx) is equal to

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  10. sec^(- 1)((1+e^(2sqrt(x)))/(2e^(sqrt(x)))) differentiate

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

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  12. If y=cos ^(-1) ((1)/( 3x-4x^(3))) ,then (dy)/(dx)

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  13. if y=tan^-1(x/sqrt(1+x^2)) then find (dy)/(dx)

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  14. If y=tan ^(-1) ((2^(x+1))/( 1-4^(x))),then (dy)/(dx) =

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  15. If y=tan^(-1)((3x-x^3)/(1-3x^2)),1/(sqrt(3))<x<1/(sqrt(3)), then find ...

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  16. If y=(3a^(2)x-x^(3))/(a^(3)-3ax^(2)) then find (dy)/(dx)

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  17. If y=tan n^(-1) ((sqrtx(3-x))/( 1-3x) ) ,then (dy)/(dx) =

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  18. If y=tan^(-1)sqrt((1-x)/(1+x)), then find (dy)/(dx) when -1 lt x lt 1.

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  19. If y=tan ^(-1) sqrt(( a-x)/( a+x)) ,then (dy)/(dx) =

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

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