# How do you differentiate #f(x)= ( x + 1 )/ ( tan x )# using the quotient rule?

##### 1 Answer

#### Explanation:

The quotient rule states that:

Where

We use this whenever we need to find the derivative of one function divided by another, which is the case here. We can say let

Substituting these into the quotient rule formula, we have:

Now we move onto the algebra/trig, which tends to be the most difficult part:

We could do more simplifying here, but this result suffices.