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>> No. 4620 Anonymous
24th December 2019
Tuesday 12:03 am
4620 spacer
f = f(x, y)

df = f(x + dx, y + dy) - f(x, y)
= f(x + dx, y + dy) - f(x, y + dy) + f(x, y + dy)- f(x, y)
= f_x.dx + f_y.dy

because evaluating the partial derivative at y+dy instead of y doesn't make any difference, right?
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>> No. 4621 Anonymous
24th December 2019
Tuesday 12:41 am
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Starting to think we need a LaTeX mode.
>> No. 4622 Anonymous
24th December 2019
Tuesday 12:58 am
4622 spacer
f = f(x, y) df = f(x + dx, y + dy) - f(x, y) = f(x + dx, y + dy) - f(x, y + dy) + f(x, y + dy)- f(x, y) = (∂f/∂x)dx + (∂f/∂y)dy

>> No. 4623 Anonymous
24th December 2019
Tuesday 10:30 am
4623 spacer
dy goes to zero so it makes no difference, yes.

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