How do you differentiate #f(x)=(4x-5)/(3x+2)# using the quotient rule?
1 Answer
Dec 30, 2017
Explanation:
#"given "f(x)=(g(x))/(h(x))" then"#
#f'(x)=(h(x)g'(x)-g(x)h'(x))/(h(x))^2larrcolor(blue)"quotient rule"#
#g(x)=4x-5rArrg'(x)=4#
#h(x)=3x+2rArrh'(x)=3#
#rArrf'(x)=(4(3x+2)-3(4x-5))/(3x+2)^2#
#color(white)(rArrf'(x))=(12x+8-12x+15)/(3x+2)^2#
#color(white)(rArrf'(x))=23/(3x+2)^2#
