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If y= sqrt(sin x + y), then (dy)/(dx) is...

If `y= sqrt(sin x + y)`, then `(dy)/(dx)` is equal to

A

`(cos x)/(2y-1)`

B

`(cos x)/(1-2y)`

C

`(sin x)/(1-2y)`

D

`(sin x)/(2y-1)`

Text Solution

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The correct Answer is:
A
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-NCERT Exemplar Problems and Solution (Objective Type Questions)
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  3. If y= sqrt(sin x + y), then (dy)/(dx) is equal to

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  4. The derivative of cos^(-1) (2x^(2)-1) w.r.t cos^(-1)x is

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  13. If f(x)= x^(2) sin ((1)/(x)), where x ne 0, then the value of the func...

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

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  17. If y= sqrt(sin x + y), then (dy)/(dx) is equal to

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  18. The derivative of cos^(-1) (2x^(2)-1) w.r.t cos^(-1)x is

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  19. If x= t^(2) and y= t^(3), then (d^(2)y)/(dx^(2)) is equal to

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  20. The value of c in Rolle's theorem for the function f(x)= x^(3) in the ...

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