How do you differentiate #f(x)= (7 x^2 + 2x -3 )/ (x- 1 )# using the quotient rule?
1 Answer
Jun 17, 2017
Explanation:
#"given " f(x)=(g(x))/(h(x))" then"#
#f'(x)=(h(x)g'(x)-g(x)h'(x))/(h(x))^2larr" quotient rule"#
#"here "g(x)=7x^2+2x-3rArrg'(x)=14x+2#
#"and "h(x)=x-1rArrh'(x)=1#
#rArrf'(x)=((x-1)(14x+2)-(7x^2+2x-3))/(x-1)^2#
#color(white)(rArrf'(x))=(14x^2+2x-14x-2-7x^2-2x+3)/(x-1)^2#
#color(white)(rArrf'(x))=(7x^2-14x+1)/(x-1)^2#
