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Ify = tan^(-1) ((sqrt(1+x^(2)) -sqrt(1-x...

If`y = tan^(-1) ((sqrt(1+x^(2)) -sqrt(1-x^(2)))/(sqrt(1+x^(2)) + sqrt(1-x^(2))))` then dy/dx =

A

`(x^(2))/(sqrt(1-x^(4))`

B

`(x^(2))/(sqrt(1-x^(4))`

C

`(x)/(sqrt(1-x^(4))`

D

`(x)/(sqrt(1-x^(4))`

Text Solution

Verified by Experts

The correct Answer is:
D
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