Differentiate each function by applying the basic rules of differentiation
`(2)/(5x)-(sqrt(2))/(3x^(2))`

Explanation

To differentiate the function \( y = \frac{2}{5x} - \frac{\sqrt{2}}{3x^2} \), we will apply the basic rules of differentiation step by step.

### Step 1: Rewrite the function in terms of powers of \( x \)

The given function can be rewritten as:

\[
y = \frac{2}{5} x^{-1} - \frac{\sqrt{2}}{3} x^{-2}
...