The problem involves finding the instantaneous velocity of the scalar function f(x, y, z) = xyz at the point (1, 2, 1). Participants are discussing the appropriateness of the problem's formulation, particularly in relation to the concept of instantaneous velocity in the context of scalar versus vector functions.
The discussion is ongoing, with participants expressing confusion about the problem's setup and confirming that no additional information has been provided. There is a shared sentiment regarding the lack of clarity in the question's phrasing.
Participants note the absence of specific values for the rates of change, which are typically required to compute instantaneous velocity in a multi-variable context.
supermiedos said:Homework Statement
Find the instantaneous velocity of f(x, y, z) = xyz, at (1, 2, 1)
Homework Equations
The Attempt at a Solution
I think this problem our proffesor gave us wasn't formulated correctly. The only time when we calculated instantaneous velocity was when we had a vectorial function like r(t) = x(t) i + y(t) j + z(t) k.
I tried using dw, but it doesn't work since i don't know dx, dy or dz