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

##### 1 Answer

Nov 21, 2017

#### Explanation:

The most common way to evaluate this derivative is to use the quotient rule, but if we want to avoid using it to differentiate, we can be clever and use a bit of algebraic long division:

We can then differentiate this expression using only the chain rule and letting