# The Chain Rule for Matrix Exponential Functions

by Jay A. Wood (Western Michigam University)

This article originally appeared in:
College Mathematics Journal
May, 2004

Subject classification(s): Differential & Difference Equations | Ordinary Differential Equations | Systems of Differential Equations
Applicable Course(s): 4.15 Advanced Differential Equations

If $$M(t)$$ is a matrix of differentiable functions, the chain rule applies to $$\exp(M)$$ if $$M$$ and $$M'$$ commute.

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