Solving Partial Derivatives with f(x-z)=x+y+z

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Homework Help Overview

The discussion revolves around the function notation f(x-z) = x + y + z, where participants are attempting to clarify the implications of this expression in the context of partial derivatives and multivariable functions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the validity of expressing f as a function of a single variable while also referencing multiple independent variables. Questions arise regarding the interpretation of the function and its dependencies.

Discussion Status

The discussion is ongoing, with participants questioning the formulation of the problem and seeking clarification on the function's structure. Some guidance has been offered regarding the need to accurately represent the question and its variables.

Contextual Notes

There is a noted ambiguity in the problem statement, particularly regarding the independence of variables x and y, and how they relate to the function f. Participants are trying to reconcile these aspects without a clear consensus on the interpretation.

imana41
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hi i have a problem for this
if f(x-z)=x+y+z solve
gif.latex?\frac{\partial%20z}{\partial%20x}-2\frac{\partial%20z}{\partial%20y}.gif


can i say u=x-z and write F(x,y,z)=x+y+z-f(u) and then
%20z}{\partial%20x}=-\frac{\frac{\partial%20F}{\partial%20x}}{\frac{\partial%20F}{\partial%20z}}.gif

%20z}{\partial%20y}=-\frac{\frac{\partial%20F}{\partial%20y}}{\frac{\partial%20F}{\partial%20z}}.gif


or this isn't true ? thanks if u help me.
 
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f(x-z)=x+y+z, this doesn't make sense, the way you've written it f is a function of one variable (x-z), but has 3 variables and does not reference the original variable (x-z)
 
what should i do ?
 
can you start by trying to write the question exactly as it was written?
 
For example, are you given that f(x, y, z)= x+ y+ z= 0?
 
HallsofIvy said:
For example, are you given that f(x, y, z)= x+ y+ z= 0?

no jus written f(x-z)=x+y+z and f is a function of x and y(x,y are Independent)
 

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