(a) Show that a differentiable function of decreases most rapidly at x in the direction opposite the gradient vector, th

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A Show That A Differentiable Function Of Decreases Most Rapidly At X In The Direction Opposite The Gradient Vector Th 1 (8.06 KiB) Viewed 31 times

(a) Show that a differentiable function of decreases most rapidly at x in the direction opposite the gradient vector, that is, in the direction of -f(x). (Do this on paper. Your instructor may ask you to turn in this work.) (b) Use the result of part(a) to find the direction in which the function f(x, y) = xy - x¹y³ decreases fastest at the point (-1, -1). -f(-1, -1) = <