# derivative of matrix square root

by cpp6f
Tags: derivative, matrix, root, square
 P: 4 If I have a matrix valued function A(x) of some scalar x, how do I compute the derivative of the square root of A with respect to x? It seems like it should be simple, but I can't find it anywhere on the internet. Thanks!
 Sci Advisor HW Helper Thanks P: 26,167 hi cpp6f! how would you define the square root of a matrix? eg the square root of the 2x2 identity matrix could be itself, or [1,0;0,-1]
 P: 4 I forgot to mention that A is positive definitive. So the principle square root of A (the square root that is also positive definitive)