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Question: total derivative

Question:total derivative

sterlin9 57 Maple
derivative
October 31 2008
0

To find total derivative of a any given function in form of f(x,y,z)  , should I simply take the Jacobian of the function? If so, why does that yield a total derivative. As i understand, the total derivative is given in form of df = (df/dx)dx + (df/dy)dy which is not the same as Jf = [(df/dx1)   (df/dx2)  ....   (df/dxn)]

My example here is h(x,y,z) = (x + y - z, sin(xyz) + e )

 

thx for any help
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