Differentiate `(sqrt(a)+sqrt(x))/(sqrt(a)-sqrt(x))` with respect to 'x'.

Explanation

To differentiate the function \( y = \frac{\sqrt{a} + \sqrt{x}}{\sqrt{a} - \sqrt{x}} \) with respect to \( x \), we will use the quotient rule of differentiation. The quotient rule states that if \( y = \frac{u}{v} \), then the derivative \( \frac{dy}{dx} \) is given by:

\[ \frac{dy}{dx} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2} \]

where \( u = \sqrt{a} + \sqrt{x} \) and \( v = \sqrt{a} - \sqrt{x} \).

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