# How do you find the derivative of # (y - 1)^5 / (y^2 + 5 y)^6# using the chain rule?

##### 1 Answer

The main tool for differentiating this is the Quotient Rule ; the chain rule is secondary. Please see the explanation.

#### Explanation:

Let

The Quotient Rule is:

let

Here is where the chain rule comes in:

Let

Again the chain rule is used for h'(y):

let

You now have all of the parts to substitute back into the quotient rule: