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If x = exp [ Tan ^(-1) ((y -x ^(2))/(x ^...

If `x = exp [ Tan ^(-1) ((y -x ^(2))/(x ^(2)))]` then `(dy )/(dx)=`

A

`2x [1+ tan (ln x ) + 1/2 sec ^(2) (ln x ) ]`

B

`[1+ tan (ln x ) + 1/2 sec ^(2) (ln x ) ]`

C

`2x [1+ tan (ln x ) + sec ^(2) (ln x ) ]`

D

0

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The correct Answer is:
A
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