Test Academy | If x = exp {tan-1(y−x²/x²)}, then dy/dx equals 2x [1 + tan (log x)] + x sec² (log x), x [1 + tan (log x)] + sec² (log x), 2x [1 + tan (logx)] + x² sec² (log x), 2x [1 + tan (log x)] + sec² (log x)

Question

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

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

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