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If "y"="tan"^(-1)"\ "[(sqrt(1+"x"^2-sqrt...

If `"y"="tan"^(-1)"\ "[(sqrt(1+"x"^2-sqrt(1-"x"^2)))/(sqrt(1+"x"^2+)"\ "sqrt("\ "1-"x"^2)),]"\ f i n d\ \ "("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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