If `y=tan^(-1){(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))}` , `-1 < x < 1, x!= 0 ` . Find `dy/dx`.

Explanation

To find \(\frac{dy}{dx}\) for the function

\[ y = \tan^{-1}\left(\frac{\sqrt{1+x^2} + \sqrt{1-x^2}}{\sqrt{1+x^2} - \sqrt{1-x^2}}\right), \]

we will follow these steps:

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