Question

Найти f '(x) ,если: f(x)=2x-3/x-1

Answer 1

Ответ:

f(x)=(2x-3)/(x-1)

f'(x)=((2x-3)'(x-1)-(2x-3)(x-1)')/(x-1)²

f'(x)=(2(x-1)-(2x-3))/(x-1)²

f'(x)=(2x-2-2x+3)/(x-1)²

f'(x)=1/(x-1)²