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