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cot^(-1)((1)/(sqrt(x)))...

`cot^(-1)((1)/(sqrt(x)))`

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To find the differentiation of \( y = \cot^{-1}\left(\frac{1}{\sqrt{x}}\right) \), we will follow these steps: ### Step 1: Identify the function and its derivative The derivative of \( \cot^{-1}(u) \) is given by: \[ \frac{d}{du} \cot^{-1}(u) = -\frac{1}{1 + u^2} \] In our case, \( u = \frac{1}{\sqrt{x}} \). ...
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