Finding the instantaneous velocity of a scalar function?

  • #1

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
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,260
619

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

No, I don't think the phrasing of the question makes much sense.
 
  • #3
35,008
6,758
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.
 
  • #4
I knew it! No, there's no more information. Only f and the point (1, 2, 1). Thanks!
 

Related Threads on Finding the instantaneous velocity of a scalar function?

  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
3
Views
1K
Replies
8
Views
3K
Replies
5
Views
3K
Replies
2
Views
1K
  • Last Post
Replies
19
Views
6K
  • Last Post
Replies
1
Views
5K
Replies
3
Views
906
Top