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 ):
`(ax+b)(cx+d)^(2)`

Explanation

To find the derivative of the function \( y = (ax + b)(cx + d)^2 \), we will use the product rule of differentiation. The product rule states that if you have two functions \( u \) and \( v \), then the derivative \( \frac{dy}{dx} \) is given by:

\[ \frac{dy}{dx} = u'v + uv' \]

where \( u' \) is the derivative of \( u \) and \( v' \) is the derivative of \( v \).

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