Differentiate the following function with respect of `x :(xsinx)/(1+cos x)`

Explanation

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

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

where \( u \) is the numerator and \( v \) is the denominator.

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