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If y = tan^(-1) {(x)/(1 + sqrt(1 - x^(2)...

If `y = tan^(-1) {(x)/(1 + sqrt(1 - x^(2)))}`
`+ sin { 2 tan^(-1) sqrt((1 - x)/(1 + x))}, "then" (dy)/(dx) = `

A

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

B

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

C

`(2x + 1)/(x sqrt(1 - x))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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