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If y=sqrt(sinx+y) , then (dy)/(dx) equal...

If `y=sqrt(sinx+y)` , then `(dy)/(dx)` equals `(cosx)/(2y-1)` (b) `(cosx)/(1-2y)` (c) `(sinx)/(1-2y)` (d) `(sinx)/(2y-1)`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-DIFFERENTIATION -LOGARITHMIC DIFFERENTIATION
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  2. If sin (x+y) +cos (x+y) =1,then (dy)/(dx)=

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  3. If sin(x+y)=log(x+y) then (dy)/(dx)=

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  4. If 3sin(x y)+4cos(x y)=5,t h e n(dy)/(dx)= -y/x (b) (3sin(x y)+4c...

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

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  6. If xsqrt(1 + y) + ysqrt(1 + x) = 0 x != y prove that (dy)/(dx) = (-1)/...

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  20. The derivative of cos^(-1)((1-x^2)/(1+x^2)) w.r.t. cot^(-1)((1-3x^2)/(...

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