# What is the derivative of #ln((x+1)/(x-1))#?

##### 2 Answers

In three moments: first, remember ln derivative rule. Second, chain rule. Third and finally, quocient rule.

Derivative rule: be

Now, let's consider

Deriving

But the derivative of

Remembering the values of

There are several ways to get to the correct answer. Here is one:

Use properties of logarithm to rewrite:

Now use

If you prefer to write the result as a single fraction, do so.