Find derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): `(p x + q)(r/x+s)`

Explanation

To find the derivative of the function \( f(x) = (px + q)(\frac{r}{x} + s) \), we will apply the product rule of differentiation. The product rule states that if you have two functions \( u(x) \) and \( v(x) \), then the derivative of their product is given by:

\[ (uv)' = u'v + uv' \]

### Step 1: Identify the functions
Let:
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