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

##### 2 Answers

I think that this was not the function that you intended to write (probably you omitted parentheses, which are essential when one writes in-line fractions). In fact, you can rewrite that function as follows:

The derivative of a constant function is

I'll try to infer the function that you wanted to write:

The code to render this properly is *f(x)=ln((1+e^x)/(1-e^x))* (notice the usage of parentheses).

This is a function composition. Given two functions

In this particular case

The derivative of

and the derivative of

So

I assume you want to differentiate:

You could use

Or, simplifying: