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If u = tan^(-1) (( sqrt(1- x^(2) ) - 1)...

If `u = tan^(-1) (( sqrt(1- x^(2) ) - 1)/( x) ) and v = sin^(-1) x`, then `(du)/(dv)` is equal to
a)`sqrt( 1- x^2)`b)`- (1)/(2)` c)1 d)-x

A

`sqrt( 1- x^2)`

B

`- (1)/(2)`

C

`1`

D

`-x`

Text Solution

Verified by Experts

The correct Answer is:
B
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