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Rate of change problem

  1. Jul 17, 2006 #1
    potential V at the point P(2, -1, 2) in a rectangular
    coordinate system is V (x, y, z) =x^2+4y^2+9z^2.


    Find the direction that produces the maximum rate of change of V at P.

    the max rate of change 37.094.
    how to find direction that produces the maximum rate of change ??
     
  2. jcsd
  3. Jul 17, 2006 #2

    Astronuc

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    Staff: Mentor

  4. Jul 17, 2006 #3

    HallsofIvy

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    Staff Emeritus
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    Also, if f is in x,y,z coordinates, then [itex]\nabla f= \frac{\partial f}{\partial x}+ \frac{\partial f}{\partial y}+ \frac{\partial f}{\partial z}[/itex].
     
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