Question

Найти производную функции (подробно)
y=-ln((1+x)/(1-x))

Answer 1

y'= -( ( (ln (1+x)' * (1-x) - ln (1+x) * (1-x)' ) / (1-x)^2 ) = -( ( 1-x/1+x - ln (1+x)*1 )/(1-x)^2 )=
= -( 1-x/1+x - ln (1+x) / (1-x^2) )