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






  

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

















 












































 


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