Find the derivative of ax+b/cx+d using ab-inito method
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Explanation:
The Quotient Rule:
(fg)′=f'⋅g−f⋅g'g2, g≠0
f(x)=ax+bcx+d
f'(x)=(ax+b)'(cx+d)−(ax+b)(cx+d)'(cx+d)2=a(cx+d)−(ax+b)c(cx+d)2=ad−bc(cx+d)2
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