# How do you find the derivative of #w=1/sinz#?

##### 2 Answers

#### Explanation:

For the general case, the derivative quotient rule tell us:

Taking

(so

and

remembering that

we have

#### Explanation:

The answer below is also valid, but here is a shortcut if you can remember the identity:

So the answer can be written as

*Final Answer*

This is a common basic identity which can be quickly memorized along with d/dx of sine, cosine, tangent, etc. in order to save time in the future: