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y = sec^(-1)((1)/(2x^(2) -1 )), 0 lt x l...

`y = sec^(-1)((1)/(2x^(2) -1 )), 0 lt x lt (1)/(sqrt(2))`

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To solve the problem step by step, we will start with the given function and apply the necessary transformations and differentiation. ### Step 1: Define the function We have the function: \[ y = \sec^{-1}\left(\frac{1}{2x^2 - 1}\right) \] for \( 0 < x < \frac{1}{\sqrt{2}} \). ### Step 2: Substitute \( x \) ...
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