Find derivative of `x^3logx` w.r.t. to `x`

Explanation

To find the derivative of the function \( f(x) = x^3 \log x \) with respect to \( x \), 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:

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

### Step 1: Identify \( u \) and \( v \)
Let:
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