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.