John Derby Smith (April 9, 1812 – April 26, 1884), was an American minister, physician, and Massachusetts state legislator. Smith, the youngest son of Nathan Smith, M.D., Professor of Medicine in Dartmouth College, was born in Hanover, N. H., April 9, 1812. The yeai after his birth his father became the head of the newly organized Medical Institution of Yale College. This article incorporates public domain material from the 1884 Yale Obituary Record.