Differentiate each function by applying the basic rules of differentiation
`((1)/(x^(2))+3)((2)/(x^(3))+x)`

Explanation

To differentiate the function \( y = \left(\frac{1}{x^2} + 3\right)\left(\frac{2}{x^3} + x\right) \), we will apply the product rule of differentiation.

### Step-by-Step Solution:

1. **Rewrite the Function**:
We can rewrite the function in terms of powers of \( x \):
\[
y = \left(x^{-2} + 3\right)\left(2x^{-3} + x\right)
...