# How do you differentiate #f(x)=1/(x-1)#?

##### 1 Answer

Jun 30, 2016

#### Explanation:

in any number of ways. it is

so you could use the basic definition, namely that

but here it is (x-1) and not x so we might wish to look at the chain rule and an intermediate substitution

we can say that

and then we can say from the **chain rule** that

the blue bit calls on the idea in