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As per Clariut's theorem, if the derivatives of a function up to the high order are continuous at (a,b), then we can apply mixed derivatives. I am looking at

http://en.wikipedia.org/wiki/Symmetry_of_second_derivatives

and I cannot understand in the example for non-symmetry, why the derivatives are not continuous and not equal. Can someone please explain that example?

thanks,

Sam

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# Symmetry of higher order partial derivatives

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