Some things to remember for implicit differentiation:
- Since y is a function of x, any derivative involving y must use the chain rule.
- Since y is a function of x, taking the derivative of xy (or of any other product involving both x and y) requires the product rule.
- Since y is a function of x, taking the derivative of
(or any other quotient involving both x and y) requires the quotient rule.
With these things in mind, we're ready to get cracking.