because the result for the order of x1 and x2 partial derivatives is the same as x2 and x1
seven
The order of the partial derivatives does not matter for continuous functions.
achekuri
Ans: The matrix is symmetric because order does not matter for partial derivatives of higher order. Ex: dy/du * dy/dv = dy/dv * dy/du
Kevinzzz
Because the order of partial derivatives does not matter
jyu
It doesn't matter for which variable we calculate the partial derivative first.
chenruis
Because the partial derivative over two fixed variables does not change no matter which variable you put first. Probably it is easier to use the graphical / geometric meaning of it?
because the result for the order of x1 and x2 partial derivatives is the same as x2 and x1
The order of the partial derivatives does not matter for continuous functions.
Ans: The matrix is symmetric because order does not matter for partial derivatives of higher order. Ex: dy/du * dy/dv = dy/dv * dy/du
Because the order of partial derivatives does not matter
It doesn't matter for which variable we calculate the partial derivative first.
Because the partial derivative over two fixed variables does not change no matter which variable you put first. Probably it is easier to use the graphical / geometric meaning of it?