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goggles31

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Mod note: Thread title changed from "Sign used in total differential and small errors" to "Symbol used in total differential and small errors"

My notes say that z=f(x,y) can be defined as the sum of the changes with respect to x,y respectively. The formula is:

dz = ∂f/∂x * dz + ∂f/∂y * dy

Whereas in small errors, the formula is:

deltaf = ∂f/∂x * deltax + ∂f/∂y * deltay

Shouldn't the sign used be ∂f since it is taken with respect to more than one variable?

My notes say that z=f(x,y) can be defined as the sum of the changes with respect to x,y respectively. The formula is:

dz = ∂f/∂x * dz + ∂f/∂y * dy

Whereas in small errors, the formula is:

deltaf = ∂f/∂x * deltax + ∂f/∂y * deltay

Shouldn't the sign used be ∂f since it is taken with respect to more than one variable?

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