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

If `y=cos^(-1)((x-x^(-1))/(x+x^(-1))),` then `(dy)/(dx)` is

A

`{:{((2)/(1+x^(2))",",xgt0),(-(2)/(1+x^(2))",",xlt0):}`

B

`{:{((2)/(1+x^(2))",",xgt0),("does not exist"",", x=0),((-2)/(1+x^(2))",",xlt0):}`

C

`{:{((2)/(1+x^(2))",",xlt0),("does not exist"",", x=0),((-2)/(1+x^(2))",",xgt0):}`

D

None of these

Verified by Experts

The correct Answer is:

C

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