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

##### 2 Answers

#### Explanation:

We can use the Quotient Rule to find the derivative, which states:

Where in our case,

We then need to find the derivative of each of these:

Reassembling this we find our derivative:

#### Explanation:

In a previous answer, we used the quotient rule which is a simplification of the product rule. Some people, including me, don't like remembering more than one rule, so let's do that again using the product rule , which states:

in our case

Now we need to find the derivatives of these functions:

So reassembling we find our solution: