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If y=cos^(-1)((1-x^(2))/(1+x^(2))), then...

If `y=cos^(-1)((1-x^(2))/(1+x^(2))),` then
Statement I `(dy)/(dx)=(2)/(1+x^(2))` for `x"inR`
Statement II `cos^(-1)((1-x^(2))/(1+x^(2)))={(2tan^(-1)x,,xge0,),(-2tan^(-1)x,,xlt0,):}`

A

Both statement I and Statement II are correct and Statement II is the correct explanation of Statement I

B

Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I

C

Statement I is correct but Statement II is incorrect

D

Statement II is correct but Statement I is incorrect.

Text Solution

Verified by Experts

The correct Answer is:
D
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