2. Calculate the directional derivative o the give Ion J al te vel po TTnar1 TIT the given vector v. -L X 2 1 *(a) f x* + ху, а 2 1 (b) f x2+xy, a V= 1 -1 0 V = 1 x- 3 (c) f = ye, a = x 4 X 0 1 3 (d) f = ye, a= 1 4 3. For each of the following functions f and points a, find the unit vector v with the property that Dy f (a) is as large as possible. -0-p0-10 2 х* + ху, а — 1 X X *(a) f (c) fy +-+ y У X 0 = ye*, a = X (b) f 2
2. Calculate the directional derivative o the give Ion J al te vel po TTnar1 TIT the given vector v. -L X 2 1 *(a) f x* + ху, а 2 1 (b) f x2+xy, a V= 1 -1 0 V = 1 x- 3 (c) f = ye, a = x 4 X 0 1 3 (d) f = ye, a= 1 4 3. For each of the following functions f and points a, find the unit vector v with the property that Dy f (a) is as large as possible. -0-p0-10 2 х* + ху, а — 1 X X *(a) f (c) fy +-+ y У X 0 = ye*, a = X (b) f 2
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 32EQ
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