Find the first derivative of following 3 equations.

A. If a firm's total cost curve equals: TC = 412 + 16Q + 5Q3 - 10Q4

Find the firm's marginal cost equation:

dTC =

dQ

Find the marginal product equations for the following production functions:

B. Y = 1,000 + X - 8X3

dY =

dX

C. Y = (20/X2) - 3X + 6X2 - 2X3

dY =

dX