NEKG33 Mathematical methods for economists
Chapter 18 : Day 18: Implicit differentiation and the derivative of the inverse
By Lund University
Want to find the derivative when you have no function? Then implicit differentiation is for you. Want to find the derivative of the inverse without finding the inverse? Let's see how.
Implicit differentiation and the derivative of the inverse
This section contains two topics that are a bit more advanced. First, we look at implicit differentiation. This is a method that allows us to find a derivative when we only have an implicit relationship between two variables. Second, we look at a method which allows us to find the derivative of the inverse of the function without actually finding the inverse function.
Implicit differentiation
Derivative of the inverse of a function
Implicit differentiation and the derivative of the inverse: Problems
Exercises on implicit differentiation and the derivative of the inverse