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tan^(-1)((sqrt(x)(3-x))/(1-3x))...

`tan^(-1)((sqrt(x)(3-x))/(1-3x))`

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To differentiate the function \( y = \tan^{-1}\left(\frac{\sqrt{x}(3-x)}{1-3x}\right) \), we will follow these steps: ### Step 1: Simplify the expression Let \( \sqrt{x} = \tan(\theta) \). Then, squaring both sides gives us: \[ x = \tan^2(\theta) \] Now substituting \( \sqrt{x} \) in the original expression: ...
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