# How do you differentiate #f(x)=(x^2-2x+8)/sinx-1/x# using the quotient rule?

##### 1 Answer

Jun 8, 2016

#### Explanation:

The quotient rule is

First lets rearrange the second term in f(x) to make it easier to differentiate.

Next let's differentiate the first term using the quotient rule.

We can simplify this a bit by splitting up the fraction and cancelling the sin on the top and the bottom.

Now we just put that back in and differentiate