Econ 11B Math for Economists - Example of Implicit Differentiation

Question 3 - Find the partial derivative 
of the implicit function, 

Implicit Function: we treat z as a function of x & y
And in finding 
, we treat x as constant. 


Remember, we treat .z as a function of y. You could also think of  as

Also note that in an implicit partial differentiation we consider x as a constant, thus .

                    We now solve for 

                    our answer, 

Also, here are some more correct, alternative forms;

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