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

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

A

` (-e^(sqrt(x)))/( sqrt(x) (1+e^(2sqrt(x))))`

B

` (e^(sqrt(x)))/( sqrt(x) (1+e^(2sqrt(x))))`

C

` (-2e^(sqrt(x)))/( sqrt(x) (1+e^(2sqrt(x))))`

D

` (2e^(sqrt(x)))/( sqrt(x) (1+e^(2sqrt(x))))`

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The correct Answer is:
A
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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
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  2. If y=cos^(-1)((2x)/(1+x^(2))), then (dy)/(dx) is equal to

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

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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) ((1)/( 3x-4x^(3))) ,then (dy)/(dx)

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

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

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

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

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

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

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

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

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

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  15. 11I fy=tan^(- 1)[(sqrt(1+a^2x^2)-1)/(a x)],t h e n f i n d(dy)/(dx)

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  16. If y = tan^(-1) {(sqrt(1 + x^(2)) -1)/(x)} " then " (dy)/(dx)= ?

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

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  18. If y=cot ^(-1) sqrt(( x^(2) +a^(2)+x)/( sqrt( x^(2)+a^(2) -x)) ) ,the...

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  19. (dy)/(dx)ify=cot^(- 1)((x^x-x^x)/2)a tx=1

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  20. If y=tan ^(-1) ((6x )/( 1-8x^(2))),then (dy)/(dx)=

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