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Find (dy)/(dx) for the function: y=sin^(...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

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

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

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

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

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

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

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

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  16. If y=tan ^(-1) (sqrt( 1+x^(2)) +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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  19. If y = tan^(-1) {(sqrt(1 + x^(2)) -1)/(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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