Fin d the derivative of `(sin x)/(x+e^(x))` with respect to 'x'.

Explanation

To find the derivative of the function \( y = \frac{\sin x}{x + e^x} \) 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 its derivative is given by:

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

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

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