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Finding the instantaneous velocity of a scalar function?

  1. Mar 24, 2014 #1
    1. The problem statement, all variables and given/known data

    Find the instantaneous velocity of f(x, y, z) = xyz, at (1, 2, 1)

    2. Relevant equations

    3. 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
  2. jcsd
  3. Mar 24, 2014 #2


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    Science Advisor
    Homework Helper

    No, I don't think the phrasing of the question makes much sense.
  4. Mar 24, 2014 #3


    Staff: Mentor

    Just to make sure, is there any information that you omitted, like values for dx/dt, dy/dt, and dz/dt? If not, then I concur with Dick.
  5. Mar 24, 2014 #4
    I knew it! No, there's no more information. Only f and the point (1, 2, 1). Thanks!
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