If \( e^{x+e^{x+e^{x+\ldots+\text { to } \infty}}} \), then \( \fra...
If \( e^{x+e^{x+e^{x+\ldots+\text { to } \infty}}} \), then \( \frac{d y}{d x}= \)
\( \mathrm{P} \)
(A) \( \frac{y}{1-y} \)
(B) \( \frac{1-y}{y} \)
(C) \( \frac{y}{1+y} \)
(D) \( \frac{1+y}{y} \)
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