Implicit Function Theorem

12. You have the following production function for good X:



where output (Q) is fixed at a specific level, K is the quantity of
capital and L is the quantity of labor used to produce good X. The
isoquant associated with this function tells us how much capital and
labor must be used to produce our given level of output.

a. Use the Implicit Function Theorem to derive an equation for the slope
of the isoquant associated with this production function.