Problem #1: If f(x,y) is differentiable near (x, y) = (a, b), and u is any unit vector, consider the following statements. (i) Duf(a, b) may be greater than || Vf(a, b)|| (ii) If u is orthogonal to Vf(a, b) then Duf(a, b) = 0 (iii) If y=-u then ||Dyf(a, b)|| = ||Duf(a, b)|| Determine which of the above statements are True (1) or False (2).
Problem #1: If f(x,y) is differentiable near (x, y) = (a, b), and u is any unit vector, consider the following statements. (i) Duf(a, b) may be greater than || Vf(a, b)|| (ii) If u is orthogonal to Vf(a, b) then Duf(a, b) = 0 (iii) If y=-u then ||Dyf(a, b)|| = ||Duf(a, b)|| Determine which of the above statements are True (1) or False (2).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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