differentiation

Question: If $x = {e^{y + {e^{y + ....t{\rm{o}}\,\,\infty }}}}$, $x > 0,$ then $\frac{{dy}}{{dx}}$ is



1) $\frac{{1 + x}}{x}$
2) $\frac{1}{x}$
3) $\frac{{1 - x}}{x}$
4) $\frac{x}{{1 + x}}$
Solution: Explanation: Explanation
Implicit-function

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