Find the derivative of the following functions (it is to be understand that a,b,c,d,p,q,r and s are fixed non-zero constants ):
`(px^(2)+qx+r)/(ax+b)`

Explanation

To find the derivative of the function \( f(x) = \frac{px^2 + qx + r}{ax + b} \), we will use the quotient rule for differentiation. The quotient rule states that if you have a function in the form \( \frac{f(x)}{g(x)} \), then the derivative is given by:

\[ \frac{d}{dx}\left(\frac{f(x)}{g(x)}\right) = \frac{f'(x)g(x) - f(x)g'(x)}{(g(x))^2} \]

### Step-by-step Solution:

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