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OpenStudy (anonymous):
CAN someone PROVE ∂^2f/∂x∂y=∂^2f/∂y∂x
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OpenStudy (anonymous):
someone has proved it but it requires that the second partials are continuous. otherwise it is not true
OpenStudy (anonymous):
yeah given C^2
OpenStudy (anonymous):
a reasonable and readable proof is given in 2.33 here http://kr.cs.ait.ac.th/~radok/math/mat9/02.htm
OpenStudy (anonymous):
thats one way, i saw a way with integrals
OpenStudy (anonymous):
i think you use green's theorem
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