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samer88
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Homework Statement
determine the derivative of f(x,y,z)=(x^2-2xy+z,y^2+z^2) directly from the definition where f:R^3------->R^2
Derivative of a Multivariable Function from Definition in Vector Spaces
- Thread starter samer88
- Start date
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- Tags
- Calculus Vector Vector spaces
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Homework Help Overview
The problem involves determining the derivative of a multivariable function, specifically f(x,y,z)=(x^2-2xy+z,y^2+z^2), from its definition in the context of vector spaces. The function maps from R^3 to R^2.
Discussion Character
- Exploratory, Assumption checking
Approaches and Questions Raised
- Participants discuss whether the problem pertains to finding a single derivative or multiple derivatives. There is a suggestion to consider taking partial derivatives of the function. One participant questions the variable with respect to which the derivative is being taken and proposes calculating first derivatives for each variable.
Discussion Status
The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the approach to derivatives, but no consensus has been reached on the specifics of the question or the method to be used.
Contextual Notes
There is uncertainty regarding the variable of differentiation and the complexity of the problem, with one participant expressing that the question may be too advanced for them.
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