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If x = e^(tan^(-1))((y-x^2)/x^2) then (d...

If `x = e^(tan^(-1))((y-x^2)/x^2)` then `(dy)/(dx)=`

A

` 2x (1+tan (logx ))-xsec ^(2) (log x )`

B

` 2x (1+tan (logx ))+xsec ^(2) (log x )`

C

` 2x (1+tan (logx ))-x^(2) sec ^(2) (log x )`

D

` 2x (1+tan (logx ))+ x^(2) sec ^(2) (log x )`

Text Solution

Verified by Experts

The correct Answer is:
B
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