Answer :
First.
Calculate f'(x) = (2x/x-1)' = (-2)/[tex] (x-1)^{2} [/tex]; when x is not 1;
Second.
Calculate f'(0) = -2 => the difference quotient (f(a+h)-f(a))/ h, where hod want equal 0 is -2;
Third.
f(a) = 2a/a-1; f(a+h) = (2a+2h)/(a+h-1);
Calculate f'(x) = (2x/x-1)' = (-2)/[tex] (x-1)^{2} [/tex]; when x is not 1;
Second.
Calculate f'(0) = -2 => the difference quotient (f(a+h)-f(a))/ h, where hod want equal 0 is -2;
Third.
f(a) = 2a/a-1; f(a+h) = (2a+2h)/(a+h-1);