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

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

A

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

B

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

C

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