# How do you differentiate #f(x)=x/sinx# using the quotient rule?

##### 1 Answer

Jan 6, 2016

#### Explanation:

Quotient rule:

In this function, we have

and

#v=sinx# , so#v'=cosx# .

Apply the rule:

# = (sinx-xcosx)/sin^2x#

This can, of course, be written in other ways using algebra and trigonometry.