Differentiate the following function with respect of `x` : `(x+sinx)/(x+cosx)`

Explanation

To differentiate the function \( y = \frac{x + \sin x}{x + \cos x} \) with respect to \( x \), we will use the quotient rule. The quotient rule states that if you have a function in the form of \( \frac{f(x)}{g(x)} \), then the derivative is given by:

\[ \frac{d}{dx} \left( \frac{f(x)}{g(x)} \right) = \frac{f'(x)g(x) - f(x)g'(x)}{(g(x))^2} \]

### Step 1: Identify \( f(x) \) and \( g(x) \)

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