If \( y=(\sin x)^{(\sin x)^{(\sin x)^{\cdots \infty}}} \), prove that \( \frac{d y}{d x}=\frac{y...
If \( y=(\sin x)^{(\sin x)^{(\sin x)^{\cdots \infty}}} \), prove that \( \frac{d y}{d x}=\frac{y^{2} \cot x}{(1-y \log \sin x)} \)
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