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find dy/dx for tan^(-1)[sqrt((1-sin4x)/(...

find `dy/dx` for `tan^(-1)[sqrt((1-sin4x)/(1+sin4x))]`

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To find \(\frac{dy}{dx}\) for the expression \(y = \tan^{-1}\left(\sqrt{\frac{1 - \sin 4x}{1 + \sin 4x}}\right)\), we will follow these steps: ### Step 1: Simplify the Expression We start with the expression inside the arctangent: \[ y = \tan^{-1}\left(\sqrt{\frac{1 - \sin 4x}{1 + \sin 4x}}\right) \] ...
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