14.6 the Gradient Vector
If we use vector notation, then we can write both definitions (2 and 10) of the directional derivative in the compact form where x 0 = 〈x 0, y 0 〉 if n = 2 and x 0 = 〈x 0, y 0, z 0 〉 if n = 3. This is reasonable because the vector equation of the line through x 0 in the direction of the vector u is given by x = x 0 + t u and so f (x
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