Econ 11B - Maths for Economists - Example of Higher Order Partial Derivatives

Question 4 - For the following function,                                                 Show that   (although by Young's Theorem we know this to be true, we are proving it with this functional form)        notice the two y terms?  we’ll need the product rule  that’s the derivative of the first times the second, plus the derivative of the second times the first.                                  ...and here's the first part of our solution notice the two y terms?  we’ll need the product rule that’s the derivative of the first times the second, plus the derivative of the second times the first.      notice the two x’s in the second term?  we’ll need the product rule  that’s the derivative of the first times the second, plus the derivative of the second times the first.                         ...and here's the 2nd part of our solution,    notice that it matches exactly what we have above         Thus, we can conclude that;                                            More Fun Examples of this Type of Problem