Question:
Find the derivative of the following functions: (Px+q) [(r/x)+s]
Answer:
Let y = (Px+q) [(r/x)+s]
Now dy/dx = {(r/x)+s}*p - (px+q)*{(-r/x2 )}]/{(r/x)+s}2
= [(pr/x) + ps + (pr/x) + (qr/x2 ) ]/{(r/x)+s}2
= [2(pr/x) + ps + (qr/x2 ) ]/{(r/x)+s}2
So Derivative of (Px+q) [(r/x)+s] = [2(pr/x) + ps + qr/x2 ]/{(r/x)+s}2
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