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d/dx{Tan ^(-1) (( sqrt ( 1 + x ^(2)) - s...

`d/dx{Tan ^(-1) (( sqrt ( 1 + x ^(2)) - sqrt (1 - x ^(2)))/( sqrt (1 + x ^(2)) + sqrt (1 - x ^(2))))}` =

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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