## Calculus 8th Edition

$f'(x)=\dfrac{ad-cb}{c^2x^2+2cdx+d^2}$
Identify the functions in order to apply quotient rule $h=ax+b$ $h'=a$ $g=cx+d$ $g'=c$ Apply quotient rule $(\dfrac{h}{g})'=\dfrac{h'g-hg'}{g^2}$ $f'(x)=\dfrac{a(cx+d)-c(ax+b)}{(cx+d)^2}$ $f'(x)=\dfrac{acx+ad-acx-cb}{c^2x^2+2cdx+d^2}$ $f'(x)=\dfrac{ad-cb}{c^2x^2+2cdx+d^2}$