If \( y=x^{x^{x \ldots .} \text { to } \infty} \), then \( \frac{d ...

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If \( y=x^{x^{x \ldots .} \text { to } \infty} \), then \( \frac{d y}{d x}= \)
\( \mathrm{P} \)
(A) \( \frac{y^{2}}{x(1-y \log x)} \)
(B) \( \frac{x^{2}}{y(1-y \log x)} \)
(C) \( \frac{y^{2}}{1-y \log x} \)
(D) \( \frac{x^{2}}{1-y \log x} \)
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