Differentiate the following :
(ii) `(1+x)sinx`

Explanation

To differentiate the function \( (1+x)\sin x \), we will use the product rule of differentiation. The product rule states that if you have two functions \( u \) and \( v \), then the derivative of their product is given by:

\[ \frac{d}{dx}(uv) = u \frac{dv}{dx} + v \frac{du}{dx} \]

In our case, we can let:
- \( u = 1 + x \)
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