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I'd appriciate some help in explaining, in general,

what - extracting partial differentials of a function, means.

I'm talking about a function like f(x,y,z).

Does it mean that I need a single solution where

I will have differentials for x,y,z of the func.?

Example:

f'(x,y,z) = ( x^2*y + y^2*z + x*e^(2z) )' =

= (2x*y + e^(2z))x' + (x^2 + 2y*z)y' + (y^2 + 2e^(2z))z'

Also (this is related to physics), if I have unit vectors

of x, y, z in the func. do they stay as they were

or does it entail doing some tricks on them as well

(for Cartesian coordinates - I don't think I should touch'em,

but what about a func. of polar coordinates - discribing the

course of the particle itself).

Thanks !

Live long and prosper.

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# Partial differentials

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