Differentiate `(e^x+sinx)/(1+logx)` with respect to `x` .

Explanation

To differentiate the function \(\frac{e^x + \sin x}{1 + \log x}\) with respect to \(x\), we will use the quotient rule of differentiation. The quotient rule states that if you have a function in the form \(\frac{u}{v}\), then the derivative is given by:

\[ \frac{d}{dx}\left(\frac{u}{v}\right) = \frac{v \cdot \frac{du}{dx} - u \cdot \frac{dv}{dx}}{v^2} \]

where \(u = e^x + \sin x\) and \(v = 1 + \log x\).

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