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If y =tan^(-1)(sinsqrt(x))+ "cosec"^(-1)...

If `y =tan^(-1)(sinsqrt(x))+ "cosec"^(-1)(e^(2x+1)), " then " (dy)/(dx)=`

A

`(1)/(sqrtx(1+sin^(2)sqrt(x)))+(1)/sqrt(e^(4x+2)+1)`

B

`(cossqrt(x))/(2sqrtx(1+sin^(2)sqrt(x)))-(2)/sqrt(e^(4X + 2)-1)`

C

`(cos sqrt(x))/((1+sin ^(2)sqrt(x)))+(2)/sqrt(e^(4X+2)+1)`

D

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

Text Solution

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The correct Answer is:
B
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