Find a unit vector in the direction in which f(x, y, z) = x³z² + y³z + z- 4 increases most rapidly at P(1, 1,-1), and find the rate of change of f at P in that direction. NOTE: Enter the exact answers. u ||Vƒ(1, 1, −1)|| =
Find a unit vector in the direction in which f(x, y, z) = x³z² + y³z + z- 4 increases most rapidly at P(1, 1,-1), and find the rate of change of f at P in that direction. NOTE: Enter the exact answers. u ||Vƒ(1, 1, −1)|| =
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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