differentiation

Question: If $y = {(\sin x)^{{{(\sin x)}^{(\sin x)......\infty }}}}$, then $\frac{{dy}}{{dx}} = $

1) $\frac{{{y^2}\cot x}}{{1 - y\log \sin x}}$

2) $\frac{{{y^2}\cot x}}{{1 + y\log \sin x}}$

3) $\frac{{y\cot x}}{{1 - y\log \sin x}}$

4) $\frac{{y\cot x}}{{1 + y\log \sin x}}$

Solution:

Explanation: Explanation

Implicit-function

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