0 Comments
Explanation:
f(x) = x/ln(x) = g(x)/h(x)
so, we need the quotient rule :
(g/h)' = (g'h - gh')/h²
f'(x) = (g'(x)×h(x) - g(x)×h'(x))/h²(x) =
= (1×ln(x) - x×(1/x))/ln²(x) =
= (ln(x) - 1)/ln²(x) = ln(x)/ln²(x) - 1/ln²(x) =
= 1/ln(x) - 1/ln²(x)
9.4m questions
12.2m answers