How do you differentiate #f(x)=(-4x)/(x^2-1)# using the quotient rule?
2 Answers
May 20, 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)=-4xrArrg'(x)=-4#
#h(x)=x^2-1rArrh'(x)=2x#
#rArrf'(x)=(-4(x^2-1)+8x^2)/(x^2-1)^2#
#color(white)(rArrf'(x))=(4x^2+4)/(x^2-1)^2#
May 20, 2018
Explanation:
show below
The quotient rule