If \( y=\sqrt{\tan x+\sqrt{\tan x+\sqrt{\tan x+\ldots \text { to } \infty}}} \), prove that \( \...

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If \( y=\sqrt{\tan x+\sqrt{\tan x+\sqrt{\tan x+\ldots \text { to } \infty}}} \), prove that \( \frac{d y}{d x}=\frac{\sec ^{2} x}{2 y-1} \).
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