Example of Partial Differentiation with Cobb-Douglas Production Function

Well - I wrote the problem in a rather confusing way -- so I'd suggest focusing instead on the steps toward the final solution. 


As a side note: here are a few alternate forms of the Cobb Douglas Production Function:


Now to the problem


here we go





                and since 


                            & that's it....

Follow the same steps for  and you'll find that