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Math Help - gradient

  1. #1
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    gradient

    This was confusing me so any help or step-by-step explanations would be appreciated!

    Suppose the temperature at point (x,y,z) in space is given by the function
    f(x,y,z) = 1/(1 + x^2 + y^2 + z^2)

    An insect is located at the point P = (1,1,1) in space.

    Find a direction (as a three-dimensional vector) in which the inital rate of change in the temperature is zero.
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  2. #2
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    1)Find the gradient of that function.
    2)Evaluate the gradient at (1,1,1).
    3)Find what vector u needs to be so that the dot product between this vector and #2 is 0.
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  3. #3
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    Calc question

    For solution see the attachment
    Attached Files Attached Files
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