# How do you find the derivative of #f(x)= x/(x-1)#?

##### 1 Answer

#### Explanation:

You could use the quotient rule, but I typically avoid doing this whenever possible as I find it tends to lead to higher chance of making an error and is generally more strenuous. To differentiate using the product rule, rewrite as

Product rule:

In our case,

Leaving

Where

Then, we leave

Putting it all together, we have

Which is equivalent to