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;                         ......... .. . .