Matrix derivatives
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Show that if f1(x), f2(x), g1(x) and g2(x) are differentiable functions, and if
W =
|f1(x) f2(x)|
|g1(x) g2(x)|
then dW/dx =
|f'1(x) f'2(x)|
|g1(x) g2(x) |
+
|f1(x) f2(x)|
|g'1(x) g'2(x)|
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Solution Summary
This shows how to determine the derivative of a matrix of differentiable functions.
Solution Preview
If f1 and f2 be two differentiable functions. The Wronskian W is given as
|f1 f2 |
|f1' ...
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