partial differentiation.

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amriths04

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hello friends,
under what conditions is...

(d ²F ) (d ²F)
------ = ---------
(dX.dY) (dY.dX )

where d denotes "doh" or partial differentiation..


??

thank you in advance,
 

Hey

We prounce it as doh..nothing other than an partial differentiation .
 

no.. that was not my question. my question was under what conditions that equation will be satisfied?

thank you,

pkalavakuru said:
Hey

We prounce it as doh..nothing other than an partial differentiation .
Click to expand...
 

Hi,
For being partial differentiation, the variable should be independent of each other.
 

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    amriths04

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If the function is twice differentiable , and once x and y are independent variables, I think under any conditions the equallity holds.
 

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    amriths04

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