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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(log x) + x.sec 2(log x)]`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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