Differentiate `((x^(2) sinx)/(1-x))`

Explanation

To differentiate the function \( y = \frac{x^2 \sin x}{1 - x} \), we will use the quotient rule of differentiation. The quotient rule states that if you have a function \( y = \frac{u}{v} \), where \( u \) and \( v \) are both functions of \( x \), then the derivative \( \frac{dy}{dx} \) is given by:

\[ \frac{dy}{dx} = \frac{u'v - uv'}{v^2} \]

### Step-by-Step Solution:

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