Question:medium

If $y = \sqrt{\tan x + \sqrt{\tan x + \sqrt{\tan x + \dots \infty}$, then $(2y - 1)\frac{dy}{dx} =$

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For any infinite nested function of the form $y = \sqrt{f(x) + y}$, the derivative is always $\frac{dy}{dx} = \frac{f'(x)}{2y-1}$.
Updated On: May 31, 2026
  • $\sec^2 x$
  • $-\sec^2 x$
  • $\tan x$
  • $\sec x \tan x$
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The Correct Option is A

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