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Math Help - Directional derivative..help..

  1. #1
    Junior Member
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    Directional derivative..help..

    Is this question asking for us to find the saddle point,maximum,minimum?I'm confused,how would I go about doing this?

    Suppose you are climbing a hill of height z whose shape is given by the equation z(x,y)=1000-0.01x^2-0.04y^2 and you are standing at the point with the coordinates(240,80,168).

    In which direction is the line of greatest steepness? Give your answer as unit vector.

    Use a directional derivative to find the rate of climb in this direction.
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  2. #2
    Senior Member Spec's Avatar
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    Gradient - Wikipedia, the free encyclopedia

    The gradient points in the direction where the function has the greatest rate of increase.

    Directional derivative - Wikipedia, the free encyclopedia

    In particular, the rate of climb in this direction is |\nabla z(x,y)|
    Last edited by Spec; May 12th 2009 at 02:27 AM.
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