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Math Help - rate of change

  1. #1
    Member
    Joined
    Nov 2008
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    146

    rate of change

    given

    f(x,y,z) = x^2 + 2xy + yz+z^2+6z

    what is the rate of change if i move from (2,-1,0) toward (0,2,-1).

    Do i just take the gradient of f at (2,-1,0) and (0,2,-1) and find the difference? Not sure what to do here.
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  2. #2
    Senior Member
    Joined
    Nov 2010
    From
    Clarksville, ARk
    Posts
    398

    Re: rate of change

    Right. There is no parameter, such as time, to give us something to compare to distance with. ...

    unless ...

    How much does f change relative to the distance between those two points?
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