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

##### 1 Answer

Jul 13, 2016

**Step 1: Use the chain rule to differentiate the denominator:**

Let

Then

Now, we have the derivative of the denominator, which will be useful when we use the quotient rule.

**Step 2: Use the quotient rule:**

Let

Then

The quotient rule states that

Hopefully this helps!