Differentiate `(e^xlogx)/(x^2)` with respect to `x` :

Explanation

To differentiate the function \(\frac{e^x \log x}{x^2}\) with respect to \(x\), we will use the quotient rule. The quotient rule states that if you have a function in the form of \(\frac{u}{v}\), then the derivative \(\frac{du}{dx}\) is given by:

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

where \(u = e^x \log x\) and \(v = x^2\).

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