Differentiate `(sinx-xcosx)/(xsinx+cosx)` with respect to `xdot`

Explanation

To differentiate the function \(\frac{\sin x - x \cos x}{x \sin x + \cos x}\) 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:

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

### Step-by-step Solution:

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