What is the derivative of #f(x) = (1+lnx)/(1-lnx)#?
1 Answer
Oct 31, 2015
#f'(x) = 2/(x(1-ln x)^2)#
Explanation:
Let
Then
#d/dt ((1+t)/(1-t)) = 1/(1-t) + (1+t)/(1-t)^2#
#= ((1-t) + (1+t))/(1-t)^2 = 2/(1-t)^2#
Now
So