How do you differentiate #f(x) =(1-x)/(x^2-2)# using the quotient rule?
1 Answer
Mar 11, 2018
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)=1-xrArrg'(x)=-1#
#h(x)=x^2-2rArrh'(x)=2x#
#rArrf'(x)=(-(x^2-2)-2x(1-x))/(x^2-2)^2#
#color(white)(rArrf'(x))=(x^2-2x+2)/(x^2-2)^2#
