If y = \(\rm e^{x+e^{x+e^{x+^{\ ...\ \infty}}}}\), then \(\rm \dfrac{dy}{dx}\) is:

1
\(\rm \dfrac{1+y}{y}\)
2
\(\rm \dfrac{y}{1+y}\)
3
\(\rm \dfrac{y}{1-y}\)
4
\(\rm \dfrac{1-y}{y}\)

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