Question

Найдите значение производной функции у=x/x-1 в точке х0=-2

Answer 1

y'=(x/x-1)'=((x-1-x)/(x-1)^2)=-1/(-2-1)^2=-1/9

Answer 2

y'= [ 1*(x-1)-x*1 ] / (x-1)^2 = [x-1-x]/(x-1)^2 = -1/(x-1)^2

y'(-2) = -1/(-2-1)^2 = -1/9