Absolute Error of a Given Function

[rushton_19]

Homework Statement

Find the absolute error for the following function:

f = (xy/z)+5w

Homework Equations

Equation for an error vector:
df = (df/dw)dw + (df/dx)dx + (df/dy)dy + (df/dz)dz

Equation for the absolute error:
(df)^2 = (df/dw)^2(dw)^2 + (df/dx)^2(dx)^2 + (df/dy)^2(dy)^2 + (df/dz)^2(dz)^2

The Attempt at a Solution

I found what I hope are the correct partial derivatives :

df/dw = 5

df/dx = y/z

df/dy = x/z

df/dz = (-xy)/z

I just don't know what to do now that I've found the partial derivatives. Do I just substitute it into my second equation, or are there more steps after that?

Thanks!

 

[gamer_x_]

double check all of your derivatives, and then yes, the next steps are plug and play.