directional derivatives
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In mathematics, the directional derivative of a multivariate differentiable function along a given vector v at a given point x intuitively represents the instantaneous rate of change of the function
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The concept of the directional derivative is simple; Duf(a) is the slope of f(x,y) when standing at the point a and facing the direction given by u. If x and y were given in meters, then Duf(a) would be the change in height per meter as you moved in the direction given by u when you are at the point a.
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