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$ f_{(x,y)} = x^2 - 2y^2 + 3x $

In what direction from (1,2) should we proceed so that the change so that the change in f in that direction would increase most rapidly?

I'm guessing you would have to maximize the Fx and Fy, other than that I'm pretty much lost.

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The gradient of a function points in the direction of steepest ascent.

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    right, so it's <5,-8>. and so that's the direction vector of f?2012-10-02