Question: Direction of Most Rapid Decrease ( a ) Show that a differentiable function f decreases most rapidly at x in the direction opposite the gradient

Direction of Most Rapid Decrease (a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the gradient vector, that is, in the direction of 2=f sxd, and that the maximum rate of decrease is 2|=f sxd|.

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