Question

If x = exp { tan⁻¹(y−x²/x²) }, then dy/dx equals

Options :

  1. 2x [1 + tan (log x)] + x sec² (log x)

  2. x [1 + tan (log x)] + sec² (log x)

  3. 2x [1 + tan (logx)] + x² sec² (log x)

  4. 2x [1 + tan (log x)] + sec² (log x)

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Answer :

2x [1 + tan (log x)] + x sec² (log x)

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