Product Rule

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Using product rule, d/dx[x² sin(x)] equals

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1. **Rule Statement**: $\frac{d}{dx}(uv) = u \frac{dv}{dx} + v \frac{du}{dx}$.
2. **Identify Functions**: $u = x^2$ and $v = \sin x$.
3. **Derivatives**: $\frac{du}{dx} = 2x$ and $\frac{dv}{dx} = \cos x$.
4. **Summation**:
   - $\frac{d}{dx}(x^2 \sin x) = (x^2)(\cos x) + (\sin x)(2x)$
   - $= 2x \sin x + x^2 \cos x$.

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Product Rule

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