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If y=cos^(-1)sqrt((sqrt(1+x^2+1))/(2sqr...

If `y=cos^(-1)sqrt((sqrt(1+x^2+1))/(2sqrt(1+x^2))),t h e n(dy)/(dx)i se q u a lto` `1/(2(1+x^2)),x in R` (b) `1/(2(1+x^2)),x >0` `(-1)/(2(1+x^2)),x<0` (d) `1/(2(1+x^2)),x<0`

A

`(1)/(2(1+x^(2))),x e R`

B

`(1)/(2(1+x^(2))),xgt0`

C

`(-1)/(2(1+x^(2))),xlt0`

D

`(1)/(2(1+x^(2)))lt0`

Text Solution

Verified by Experts

The correct Answer is:
B, C
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