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If x = log (1 + t^(2)) " and " y = t - t...

If `x = log (1 + t^(2)) " and " y = t - tan^(-1)t, " then" dy/dx ` is equal to

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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