© 2018  Clement Falbo.

Clement E. Falbo

P. O. Box 606

Joseph, OR 97846


Resources & Links

Theorem on the nth derivative of an k by k determinant

In differential equations, it is useful to be able to find the derivative of a determinant of functions; an interesting exercise is to "find an aestetically pleasing representation of the second derivative of a two by two determinant. " The following theorem is a generalization, being the nth derivative of an k by k determinant. This theorem was formulated by several students and colleagues in connection with my differential equations class in Spring 1993.


Examples Illustrating This Theorem