## anonymous 5 years ago What is the total differential of w = z*e^(x+y) at (0, 0, 1) ?

1. Owlfred

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2. anonymous

i've seen this before dw=(∂w/∂z)dz+(∂w/∂x)dx+(∂w/∂y)dy

3. anonymous

$(\partial w/ \partial z)_{(0,0,1)} = e^{0+0} = 1, (\partial w/ \partial x)_{(0,0,1)} = 1. e^{0+0} = 1, (\partial w/\partial y)_{(0,0,1)} = 1. e ^{0+0} = 1$