Question

Найти производную функции:
f(x) = ln x + 1/x-1​

Answer 1

f(x) = ln(x + 1)/(x-1)​

f '(x) = (ln(x + 1)/(x-1)​)' = (x - 1)/(x + 1)·(-2/(x - 1)²) = -2/(x² - 1)