# How do you use the chain rule to differentiate #f(x)=sin(x^2)/(x^4-3x)^4#?

##### 1 Answer

#### Explanation:

This is a rational expression that will require us to use the quotient rule to differentiate. First let's rewrite the function as a product since the product rule is easier to use.

Recall that for a function of the form

The product rule for differentiation is as follows:

Also notice that in our function,

For a function of the form

So, applying the product rule and chain rule on our function, we have