Partial Derivatives Watch

amcor
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#1
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My Questions:

1) Is ((d^3)f(x,y,z))/(dxdydz) and different from ((d^3)f)/(dxdydz)

2) Does ((d^3)f)/(dxdydz) mean differentiate f with respect to z then differentiate that with respect to y then differentiate that with respect to x?

(so if I changed the order of it i.e. ((d^3)f)/(dydzdx)) then you differentiate with respect to x then x then y??????
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amcor
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Anyone?
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amcor
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d is delta used to donate partial derivatives I can't find delta so I have used d instead.
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TerminatorFive
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1) They are the same
and
2) The order does not matter, you should get the same thing, and it is a useful way of chekcing that you have done it right
Hope this helps
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soup
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1. All we have done here is made it simpler for ourselves, rather than having to right out the function f and its arguments x,y,z we simplify notation by just using f.

2. The order does not matter as long as the function has continuous second partial derivatives.
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