An Example of a Production Function
Also, the geometric relationship between the three short-run curves is illustrated on the left. In particular, you can see the coincidence point of average and marginal product curves at the top left.
Additional information on this topic can be found in:
W. Nicholson, Microeconomic Theory: Basic Principles and Extensions, Hinsdale, IL: Dryden Press, 1972.
N. G. Mankiw, Principles of Microeconomics, Ft. Worth, TX: Dryden Press, 1997.
A. Griffiths and S. Wall., Intermediate Microeconomics: Theory and Applications, New York: Pearson Education, 2000.