# What is the derivative of # y= 1/ (sinx+cosx)#?

##### 1 Answer

#### Explanation:

Notice that your function is actually the *quotient* of two other functions, which means that you can use the quotient rule to determine its derivative.

More specifically, those two functions are

such that your function can be written as

Now, the quotient rule says that th derivative of a quotient of two functions is equal to

You also know that

and that the derivative of a constant is equal to **zero**

which means that you have

**SIDE NOTE** *You could also use the reciprocal rule, which deals with the special case of*