# How do you find the derivative of #(ln * e^x)/(e^x-1)#?

##### 1 Answer

Mar 28, 2017

Call the function

#f(x) = x/(e^x - 1)#

We now use the quotient rule to find the derivative. If

Here we have

#f'(x) = (x(e^x - 1) - e^x(x))/(e^x - 1)^2#

#f'(x) = (xe^x - x - xe^x)/(e^x - 1)^2#

#f'(x) = -x/(e^x - 1)^2#

Hopefully this helps!